answersbookchapter1

answersbookchapter1 - Chapter 1 P1(a 26 2 10 5(b 26 25...

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Unformatted text preview: Chapter 1. P1 (a) 26 2 · 10 5 (b) 26 · 25 · 10 · 9 · 8 · 7 · 6 P4 (If each of the boys can play all four instruments) 4! = 24 (If Jay and Jack can each play only piano and drums) 2 · 1 · 2 · 1 = 4 ((two options for Jay) × (one remaining option for Jack) × (two remaining options for John) × (one remaining instrument for Jim)) P7 (a) (3 + 3)! = 720 (b) 2 · 3! · 3! = 72 ((boys before girls or girls before boys) × (the # of all permutations of boys) × (the # of all permutations of girls)) (c) (1 + 3)! · 3! = 144 ((the # of all permutations of 4 objects: boys treated as single object, and 3 girls each treated as a separate object) × (the # of all permutations of boys)) (d) 2 · 3! · 3! = 72 ((two options for the sex of the person sitting first - this determines the sex of people in all remaining sits) × (the # of all permutations of boys) × (the # of all permutations of girls)) P8 (a) 5! (c) 11!...
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This note was uploaded on 10/27/2010 for the course MATH 351 taught by Professor Moumen,f during the Spring '08 term at George Mason.

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answersbookchapter1 - Chapter 1 P1(a 26 2 10 5(b 26 25...

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