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MATH 2001 Quiz: MATH2001 Quiz 2.0 2018 Winter

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turquoisegnu128

1 Oct 2018

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Let s be a set with n elements. How many ways are there to partition s into two subsets: 1, n, 2n 2, 2n, none of these. Let s be a set with n elements and let a, b, and c be three positive integers with a + b + c = n. you may assume that a, b, and c are all di erent numbers. Devise a formula using addition, subtraction, multiplication, division, exponentiation, and the factorial for the number of partitions of s into three subsets of sizes a, b, and c.

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Please do number 3 with full work and explanation. Thanks