query: Difference between permutations of any given two n digit numbers is always an integer multiple of nine?
positive_passages.docid: 115145
positive_passages.text: Show that $n-m$ is a multiple of 9 when $n$ and $m$ have same digits
negative_passages.docid: 44745
negative_passages.text: How many positive integers less than 1000 have distinct digits and are even?
negative_passages.docid: 34452
negative_passages.text: In how many ways can you choose $k$ numbers out of $\{1,2,3,\dots,n\}$ so none of them is consecutive?
negative_passages.docid: 86394
negative_passages.text: EVERGREEN string question. Combinations and permutations
negative_passages.docid: 24212
negative_passages.text: proving how many permutations exist.
negative_passages.docid: 34784
negative_passages.text: Is a number meeting these conditions divisible by forty-nine?
negative_passages.docid: 107027
negative_passages.text: Number of combinations and permutations of letters
negative_passages.docid: 139776
negative_passages.text: Divisibility tests and remainder mod $9,11,99,101,999,1001\,$ (casting out nines and elevens)
negative_passages.docid: 21383
negative_passages.text: Can every even integer be expressed as the difference of two primes?
negative_passages.docid: 93459
negative_passages.text: Number of permutations of unspecified length
negative_passages.docid: 73323
negative_passages.text: Permutations when some objects are alike
negative_passages.docid: 98313
negative_passages.text: Number of possible permutations of n1 1's, n2 2's, n3 3's, n4 4's such that no two adjacent elements are same?
negative_passages.docid: 90068
negative_passages.text: Calculating the number of times a digit is written when given two numbers
negative_passages.docid: 36287
negative_passages.text: How to create all possible permutations?
negative_passages.docid: 104826
negative_passages.text: Determine Whether Integer Is Between Two Other Integers?
negative_passages.docid: 53312
negative_passages.text: Multiplication principle and permutation
negative_passages.docid: 96585
negative_passages.text: Sums and permutation