Let \(a, b\) be positive integers such that \(1 \leq b < a\).

Let \(p\) be an odd prime number. Find the number of subsets of \(\{1, 2, 3, \dots, ap\}\) with \(bp\) elements such that the sum of the elements of each subset is divisible by \(p\).

Let \(n\) be a positive integer. Find the number of subsets of \(\{1, 2, 3, \dots, an\}\) with \(bn\) elements such that the sum of the elements of each subset is divisible by \(n\).

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

## Comments

There are no comments in this discussion.