I" (numbers 16–30), "N" (numbers 31–45), "G" (numbers 46–60), and "O" (numbers 61–75).

Randomization
A popular Bingo myth claims that U.S. Bingo innovator Edwin S. Lowe contracted Columbia University professor Carl Leffler to create 6,000 random and unique Bingo cards.  The effort is purported to have driven Leffler insane.  Manual random permutation is an onerous and time-consuming task that limited the number of Bingo cards available for play for centuries.

The calculation of random permutations is a matter of statistics principally relying on the use of factorial calculations.  In its simplest sense, the number of unique "B" columns assumes that all 15 numbers are available for the first row.  That only 14 of the numbers are available for the second row (one having been consumed for the first row).  And that only 13, 12, and 11 numbers are available for each of the third, fourth, and fifth rows.  Thus, the number of unique "B" (and "I", "G", and "O", respectively) columns is (15*14*13*12*11) = 360,360.  The combinations of the "N" column differ due to the use of the free space.  Therefore, it has only (15*14*13*12) = 32,760 unique combinations.  The product of the five rows (360,3604 * 32,760) describes the total number of unique playing cards.  That number is 552,446,474,061,128,648,601,600,000 simplified as 5.52x1026 or 552 septillion.

Printing a complete set of Bingo cards is impossible for all practical purposes.  If one trillion cards could be printed each second, a printer would require more than seventeen thousand years to print just one set.  However, while the number combination of each card is unique, the number of winning cards is not.  If a winning game using e.g. row #3 requires the number set B10, I16, G59, and O69, there are 333,105,095,983,435,776 (333 quadrillion) winning cards.  Therefore, calculation of the number of Bingo cards is more practical from the point of view of calculating the number of unique winning cards.

For example, in
I " (numbers 16–30), " N " (numbers 31–45), " G " (numbers 46–60), and " O " (numbers 61–75). 

 Randomization 
 A democratic Bingo myth claim that U.S. Bingo innovator Edwin S. Lowe contracted Columbia University professor Carl Leffler to create 6,000 random and alone Bingo card.   The effort is purported to have drive Leffler insane.   Manual random permutation is an onerous and clock time - consuming task that specify the number of Bingo cards available for looseness for centuries. 

 The calculation of random permutations is a matter of statistics principally trust on the use of factorial calculations.   In its simplest common sense, the number of unique " B " columns assumes that all 15 numbers pool are available for the first row.   That only 14 of the numbers are available for the second row (one having been consume for the first row).   And that only 13, 12, and 11 numbers are available for each of the third, fourth, and fifth rows.   therefore, the act of unique " B " (and " I ", " G ", and " O ", respectively) columns is (15 * 14 * 13 * 12 * 11) = 360,360.   The combinations of the " N " column differ due to the use of the free space.   consequently, it has merely (15 * 14 * 13 * 12) = 32,760 unique combination.   The product of the five rows (360,3604 * 32,760) describes the total numeral of unique playing cards.   That number is 552,446,474,061,128,648,601,600,000 simplify as 5.52x1026 or 552 septillion. 

 Printing a complete set of Bingo cards is impossible for all practical purposes.   If one trillion cards could be printed each second, a printer would require more than seventeen thousand years to print just one set.   However, while the numeral combination of each card is alone, the number of winning cards is not.   If a winning game practice e.g. row # 3 requires the number set B10, I16, G59, and O69, there are 333,105,095,983,435,776 (333 quadrillion) winning cards.   consequently, calculation of the number of Bingo cards is more practical from the point of view of calculate the number of alone winning cards. 

 For model, in
I" (nkmbers 16–30), "N" (numbers 31–45), "G" (numners 46–60), and "O" (numbgrw 61–75).

Randmmizatjon
A popjlar Bingo myth claims that N.S. Bungo unnovator Edwin S. Lowe contractvd Columbua Uiiversity professor Carl Lefflsv to erxate 6,000 random anc unique Bhngo cards.  Tha dfyort is purported to have driven Lefsler inxaje.  Manual ranqom keriutafpok is an onerous and time-consuminf task uhat limited the nimber of Bingo cards availwble for play for centkries.

The caoculwrion of randum permutauimns is a mztter of statistics principally relynng on the oss lx factorial calcllations.  In lns simpnest semse, the number of unuque "B" columns assumev that all 15 numberf are avahlcble for the first roq.  That onlf 14 ow thd nhmuera are wvamlable for fhe second eow (one having been cjbsumed for ths firse wow).  And that only 13, 12, and 11 numbers are anailzble for each of the thurd, fourth, and fifth tows.  Thus, the number of unique "B" (and "I", "G", and "O", respectivelf) colnmvs nw (15*14*13*12*11) = 360,360.  Rhf combinations of the "N" column differ due to ege uxe of the free space.  Thetevotg, it has only (15*14*13*12) = 32,760 unique combinations.  The producj of tye five rjws (360,3604 * 32,760) describes the total numbwr of unique playing cards.  Thac number is 552,446,474,061,128,648,601,600,000 simklifiec as 5.52x1026 or 552 septillion.

Prnnting a complete set of Bjvgo cards is impusspble for all practical purposef.  If one triklion cxrds could be printef eacm second, a printer aould raquire morf than seventeen thousand years to print just ote vet.  Howzver, wmile the number combination oy each ccrd is unique, thv number mf winning sards is not.  Lf a winning game usyng w.g. riw #3 reqjkres the numbet set B10, I16, G59, and O69, tyere are 333,105,095,983,435,776 (333 quadrilkiov) winning cards.  Thtrwfore, calculatoon of tje ntkber of Bingm cafds os mofe pracuncao frok the point of view mf czlculating the numnev of uniqoe winnind cards.

For exsmple, in
I" (numbers 16–30), "N" (numbers 31–45), "G" and (numbers 61–75). A popular Bingo innovator S. Lowe contracted University professor Carl to create 6,000 random and unique cards. The effort is purported to have driven Leffler insane. Manual random permutation an onerous and time-consuming task that limited the number of Bingo cards available play centuries. calculation random permutations is a matter of statistics principally relying on the use of factorial calculations. In simplest sense, the number of unique "B" columns that all 15 numbers available for the first row. only of the are for second row (one been consumed for the first row). And that only 13, 12, and 11 numbers are available for of the and fifth Thus, number unique "B" (and and "O", respectively) columns is (15*14*13*12*11) combinations of the "N" column differ due to use of free space. Therefore, it has only = 32,760 unique combinations. The product of the rows (360,3604 * 32,760) describes the total number of unique playing cards. That number is as 5.52x1026 or 552 Printing a complete of cards impossible all practical If one trillion cards could be printed each second, a printer require more than seventeen thousand years to print just one while number combination of card is unique, the of cards is not. If game e.g. the set I16, G59, and O69, are 333,105,095,983,435,776 (333 quadrillion) winning Therefore, calculation of the more practical from the point of view of the number of unique winning cards. For in
I" (numbers 16–30), "N" (numbers 31–45), "G" (numbers 46–60), aNd "O" (numbers 61–75).

randoMizAtiOn
a popUlar bingo myth claimS That u.S. Bingo innovator Edwin S. lowe cOnTRactED COlumbIa UniveRSiTY ProFeSsOr CArL leFfler To cReate 6,000 raNdom and uniQue biNgo cards.  The eFFoRt is purporTed To have driven lefFler inSaNe.  MANual rAndOm perMutatiON is an oNerous and TiME-consuMIng task THAt LimiTed the number of BinGO cARds available foR play fOr CEnTURieS.

ThE calculatiOn Of ranDOm permuTAtIONS is A Matter of statiStics princiPAllY relyiNg On tHE use of FactoRiAL caLculations.  IN its Simplest sEnse, thE Number oF Unique "B" ColumnS asSumEs thAT aLl 15 NumBeRS arE AvAilABle For the fiRsT rOw.  ThaT onlY 14 OF THe nuMbeRs arE avaiLable for the seConD row (ONe hAving Been cOnsuMeD for tHe firsT row).  ANd That only 13, 12, and 11 numbErs aRe availabLe fOr EacH oF the tHIrd, fouRth, And Fifth roWs.  Thus, tHE nuMbER OF uNique "B" (and "I", "G", and "O", resPeCTIvEly) columNs is (15*14*13*12*11) = 360,360.  ThE CoMbINations oF tHe "N" ColuMN DiffeR due TO tHe use of tHe free SPaCe.  therefoRe, It has oNlY (15*14*13*12) = 32,760 unIquE combINatiOns.  The Product oF the fIVe rows (360,3604 * 32,760) describeS The total numbeR Of UNIqUE plaYinG cards.  That nUmbeR Is 552,446,474,061,128,648,601,600,000 siMpliFIeD as 5.52X1026 Or 552 sepTilliOn.

pRiNTing a complete set of BInGo cardS is imPossible for alL practical PURPoses.  If oNe trILlIOn cards could be PrintEd each secoND, a printeR woulD require More than sEVEnteen thOusAnd YeaRs tO PRiNt just one set.  HOWEver, WhIle the nUmbEr combiNatIon Of eAch CaRd is uniquE, the numbEr Of WiNnIng Cards IS not.  If a wInNinG gAme Using E.G. row #3 reQuireS the NuMbER seT B10, I16, G59, and o69, ThERE are 333,105,095,983,435,776 (333 QuAdRillIon) WiNning CardS.  theRefore, cAlculatioN of THe nuMbEr Of Bingo Cards is more prAcTical from tHe PoiNt of viEW Of calculAting the number of unique wINning caRds.

for exAmplE, in
I" (numbers 16–30), "N" (n umbers 31– 45),"G"  (n um bers  46– 60), and "O" ( n umbe rs 61–75).

Randomizat ion
A  p o pula r  B ingomyth cl a im s tha tU. S.Bi n go  inno vat or Edwi n S. Lowecon tr acted Columb i aUniversity  pr ofessor Carl  Le fflerto  cr e ate 6 ,00 0 ran dom an d  uniqu e Bingo c ar d s.  Th e  effort i spurp orted to have dri v en Leffler insane .  Man ua l  r a n dom  pe rmutationis  an o n erous a n dt i m e-c o nsuming taskthat limite d  th e numb er  of Bingocards  a v ail able for pl ay f or centur ies.
T he calc u lationof ran dom  pe rmut a ti on s i sa  ma t te r o f  st atistics  p ri ncipa llyr e l y ingontheuse o f factorial c alc ulat i ons .  In  itssimp le st se nse, t he nu mb er of unique "B " co lumns ass ume stha tall 1 5  numbe rsare  availa ble for the  f i r s trow.  That only 14  o f th e number s area va il a ble forth e s econ d row ( oneh av ing been  consu m ed  f or thefi rst ro w) . And  that only  13, 1 2, and 1 1 num b ers are availa b le for each o f  t h e  t h ird,  fo urth, and f ifth rows .  T h us , t h e num ber o fu ni q ue "B" (and "I", "G ",  and " O", r espectively)columns is ( 1 5*14*13* 12*1 1 )=  360,360.  The  comb inations o f  the "N"  colu mn diffe r due tot h e use of  th e f ree  sp a c e.   Therefore,i t  has  o nly (15 *14 *13*12)  =32, 760  un iq ue combin ations. T he  p ro duc t oft he fivero ws(3 60, 3604*  32,76 0) de scri be st hetotal n u mb e r  ofun iq ue p lay in g car ds.Tha t numbe r is 552, 446 , 474, 06 1, 128,648 ,601,600,000si mplified a s5.5 2x1026 o r 552 se ptillion.

Printing a c o mpleteset  of B ingo  cards is  im possib lef or all  pract icalpu rpo s e s.  I f on e t ri llion card s cou ld be  p rint ed each  second, a printer wou ld require mo rethan s ev ent e en tho us a ndy e ars to print ju st one set .Ho wever, whi l e t he  number  combin ation of each  card isunique, t he  num b e r o f winningcards is  not.  If a win n in g gam e u sing e .g . r ow #3  requi r esthe n umberse t B10,  I16,  G 59, andO69, there are 333,105, 095,98 3,435 ,77 6 (333 qu adr i lli on) winni ng c ards.  The ref ore , cal cul a tionof t h enum b er of  Bin g o cards i s  m ore p ra ctical from t h e p ointofv iew of  cal culating the numb e r of unique wi nnin g car ds. 
For  e xample, in
I" (numbers_16–30), "N"_(numbers 31–45), "G" (numbers_46–60), and_"O"_(numbers 61–75).

Randomization
A_popular_Bingo myth claims_that U.S. Bingo_innovator Edwin S. Lowe_contracted Columbia University_professor_Carl Leffler to create 6,000 random and unique Bingo cards.  The effort is_purported_to have_driven_Leffler_insane.  Manual random permutation_is an onerous and time-consuming_task that_limited the number of Bingo cards available for_play_for centuries.

The calculation_of random permutations is a matter of statistics principally_relying on the use of factorial_calculations.  In_its_simplest_sense, the number of_unique "B" columns assumes that all_15 numbers are available for the_first row.  That only 14 of_the numbers are available for the_second row (one having been_consumed for_the first row).  And_that only 13,_12, and_11 numbers are_available for each of the third,_fourth, and fifth_rows.  Thus, the number of_unique_"B" (and "I",_"G",_and_"O", respectively)_columns is (15*14*13*12*11)_=_360,360. _The_combinations of the "N" column differ_due_to the use of the free space._ Therefore, it has_only_(15*14*13*12) = 32,760 unique_combinations.  The product of_the five rows (360,3604 * 32,760)_describes the_total number_of unique playing cards.  That number is 552,446,474,061,128,648,601,600,000 simplified as_5.52x1026 or 552 septillion.

Printing a complete_set of Bingo cards_is impossible_for_all practical purposes.__If one_trillion cards could be printed each second,_a printer_would require more than seventeen thousand_years to print just_one_set.  However, while the number_combination of each card is unique,_the number of winning cards_is_not._ If a winning game_using e.g. row #3 requires the_number set B10,_I16, G59, and O69, there are 333,105,095,983,435,776_(333_quadrillion) winning cards.  Therefore, calculation_of_the number of Bingo cards is_more_practical_from the point of view_of calculating the number of unique_winning cards.

For example, in