# Question

The following identity is known as Fermat’s combinatorial identity:

Give a combinatorial argument (no computations are needed) to establish this identity.

Consider the set of numbers 1 through n. How many subsets of size k have i as their highest numbered member?

Give a combinatorial argument (no computations are needed) to establish this identity.

Consider the set of numbers 1 through n. How many subsets of size k have i as their highest numbered member?

## Answer to relevant Questions

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