Show that no set of nine consecutive integers can be partitioned into two sets with equal products
113980
Prove that a set of nine consecutive integers cannot be partitioned into two subsets with same product
42603
How can I prove that the cadinality of a set minus a finite number of elements of it is still the same as the original set?
24446
Prove that for each $n$, there exist $n$ consecutive integers, each of which is divisible by a perfect square larger than $1$.
86263
How do we show there are the same number of elements in each of the sets?
68882
Path to Combinatorics Problem [$1.11$]
123117
Is it possible to find $n-1$ consecutive composite integers
63300
Product of Consecutive Integers is Not a Power
128834
Proving the number of even and odd permutations of a subgroup $H<S_{n}$ are equal, provided $H$ is not contained in $A_{n}$
78593
Prove that the product of four consecutive positive integers plus one is a perfect square
117658
A set with n elements has 2^n subsets
22977
How many $6$-integer subsets of $\{1, 2, 3, \ldots, 20\}$ have no consecutive integers?
132605
Finding the number of subsets of a set such that an element divides the succeeding element.
117862
Number of partitions of an $n$-element set into $k$ classes
72440
Partition a set into $k$ non-empty subsets
72591
Find a bijection to prove a fact about integer partitions
94575
Inductive proof that there are infinitely many pairs of consecutive powerful integers?
153370
Number of different partitions of N