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In a certain town of the adult men are married to of the

ISBN: 9780495391326 48

Solution for problem 43E Chapter 4.3

Discrete Mathematics with Applications | 4th Edition

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Problem 43E

In a certain town  of the adult men are married to  of the adult women. Assume that all marriages are monogamous (no one is married to more than one other person). Also assume that there are at least 100 adult men in the town. What is the least possible number of adult men in the town? of adult women in the town?

Definition: Given any nonnegative integer n, the decimal representation of n is an expression of the form

dkdk-1 • • • d2d1d0,

where k is a nonnegative integer; d0, d1, d2, …, dk (called the decimal digits of n) are integers from 0 to 9 inclusive; dk ≠ 0 unless n = 0 and k = 0; and

n = dk • 10k + dk-1 • 10k-1 + ••• + d2 • 102 + d1 • 10 + d0.

(For example, 2,503 = 2 • 103 + 5 • 102 + 0 • 10 + 3.)

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