The binomial coefficient n k is the number of k-element subsets of an n-element set

Chapter 17, Problem 17.28

(choose chapter or problem)

The binomial coefficient n k is the number of k-element subsets of an n-element set. Here is another way to think of n k . Let A be an n-element set and suppose we have a supply of labels; we have k labels that say good and n k labels that say bad. In how many ways can we affix exactly one label to each element of A?

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