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5389-Ans-Part-II

# 5389-Ans-Part-II - Part II Probability Exercises 2.1.1 2(a...

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Part II. Probability Exercises 2.1.1 2. (a) n ( A B ) = 20 (b) n ( A B c ) = 5, (c) n ( A c B c ) = 40 (d) n [( A B ) c ]=40 3. AA c Tot B 20 60 80 B c 40 30 70 60 90 150 5. 450 7. (a) 80 (b) 18 (c) 28 (d) 34 8. (a) 760 (b) 1290 (c) 720 9. (a) n ( A B C c ) = 5 (b) n ( A B )=27 (c) n [( A B C ) c ] = 7 (d) n [( A B ) c C ]=10 11. (a) 190 (b) 90 (c) 210 12. 100 Exercises 2.1.2 2. 84 3. (a) 10 5 (b) 10 · 9 · 8 · 7 · 6=30 , 240 (c) 9 · 9 · 8 · 7 · 6=27 , 216 4. (a) 2 · (26) 3 =35 , 152 (b) 2 · 25 · 19 · 18 = 10 , 260 (c) 2 · 5 · 3 · 24 · 23 = 16 , 560 5. (a) 18 · 17 · 16 · 15 = 73 , 440 (b) 10 · 9 · 8 · 7 = 5040 6. (a) 5 · 5 · 4 · 3 = 300 (b) 5 · 6 · 6 · 3 = 540 (c) 5 · 6 · 9 = 270 (d) 5 · 5 · 5 · 5 = 625 8. (a) 48 (b) 60 (c) 72 9. There are only 26 2 = 676 distinct pairs of initials. 10. (a) 72 (b) 450 (c) 176 12. (a) 9,360,000 (b) 468,000 (c) 8,564,400 13. (a) 8 (b) 6 shoes, 6 slacks, 12 shirts 1

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Exercises 2.2 1. (a) P 15 , 3 =15 · 14 · 13 = 2 , 730 (b) C 15 , 5 = 3003 3. (a) C 7 , 2 = 21 (b) 2 · C 7 , 3 = 70 (c) C 9 , 4 = 126 5. (a) C 52 , 5 =2 , 598 , 960 (b) C 13 , 5 =1 , 287 (c) C 12 , 5 = 792 (d) C 13 , 3 · C 13 , 2 =22 , 308 6. (a) 5! (b) 4!. 8. (a) C 13 , 5 = 1287 (b) C 8 , 3 · C 5 , 2 = 560 (c) C 8 , 3 · C 5 , 2 + C 8 , 4 · C 5 , 1 + C 8 , 5 = 966 9. (a) 4 (b) 4 · 9 = 36 (c) 13 · 48 = 624 (d) 13 · C 4 , 3 · 12 · C 4 , 2 =3 , 744 10. (a) C 15 , 3 · 20 = 9 , 100 (b) C 15 , 2 · C 20 , 2
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5389-Ans-Part-II - Part II Probability Exercises 2.1.1 2(a...

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