mdm12Section5_2_OddSolutionsFinal

mdm12Section5_2_OddSolutionsFinal - Q1-7 Q9-21 CHAPTER 5...

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Unformatted text preview: Q1-7 Q9-21 CHAPTER 5 Section 5.2, pp. 279–281 Solutions to Odd Number Problems 1. 21C19 a) 21 × 20 2 = = 210 30C28 b) 3 0 × 29 2 = = 435 18C5 c) 18 ! 5!13 ! = = 8568 16C3 d) 16 ! 3!13 ! = = 560 19C4 e) 19 ! 4!15 ! = = 3876 f) 25C20 = 25 ! 20 !5 ! = 53 130 3. 15C2 = 15 ! 13 !2 ! = 105 5. 11C3 = 11 ! 8!3 ! = 165 7. 23C5 = 23 ! 18 !5 ! = 33 649 Top 9. a) 11C 2 = 11 ! 9!2! = 55 11C3 b) = 11 ! 8!3 ! = 165 c) 11P3 = 11 ! 8! = 990 d) The answers in parts b) and c) differ by a factor of 3!, which is the number of ways of arranging the three offices among the three members. 11. (10C2 )( 8C2 )( 7C2 ) = (45)(28)(21) = 26 460 13. a) 26C5 = 65 780 b) (15C1 )( 11C4 ) =4950 c) (15C4 )( 11C1 ) =15 015 d) (15C3 )( 11C2 ) =25 025 15C5 e) 15. 24C5 + 11C5 = 3003 + 462 = 3465 = 42 504 17. (6C3 )( 5C2 )( 8C4 ) = (20)(10)(70) = 14 000 19. Solutions for the Achievement Checks are in the Teacher Resource. 21. a) ( 9P5 )( 9P7 ) = 2 743 372 800 b) n(Jean plays young female and Jovane does not play lead male) = ( 8P6 )(8C1 × 8P4 ) = 270 950 400 n(casts) = 2 743 372 800 – 270 950 400 = 2 472 422 400 c) 18P12 Top = 8 892 185 702 400 ...
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mdm12Section5_2_OddSolutionsFinal - Q1-7 Q9-21 CHAPTER 5...

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