Question: Without doing any computation, explain why C(10, 4) + C(10, 5) = C(11, 5). Hint: Suppose that a committee of size five is to be

Without doing any computation, explain why C(10, 4) + C(10, 5) = C(11, 5). Hint: Suppose that a committee of size five is to be chosen from a pool of 11 people, and John Doe is one of the people. How many committees are there that include John? How many committees are there that don't include John?

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