Give a combinatorial proof to show that inom{n}{k}k = ninom{n - 1}{k - 1}
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We want to prove that the sum of the first n positive integers is equal to n(n+1)/2. Now, let's consider a combinatorial interpretation of this problem. Imagine we have n+1 boxes labeled from 1 to n+1. We want to count the number of ways to choose 2 boxes from Show more…
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