Question: Problem 2.27 (a) In how many ways can two distinct numbers be chosen from the set {1, 2,..., 100} so that their sum is an

Problem 2.27

(a) In how many ways can two distinct numbers be chosen from the set {1, 2,..., 100} so that their sum is an even number?

(b) In how many ways can three distinct numbers be chosen from the set {1, 2,..., 100} so that their sum is an even number?

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