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P(less than 5) = 4/6 = 2/3

P(less than 5) = 4/6 = 2/3. P(green) = 4/12 = 1/3. P(red or green) = 9/12 = 3/4. = 3(2)(5) = 30. P(red) and P(white) and P(blue). = 10/20  6/19  4/18. = 1/2  6/19  2/9. = 12/342. = 2/57. P(less than 5) and P(greater than 2). = 4/6  4/6. = 2/3  2/3. = 4/9. 9! = 362,880.

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P(less than 5) = 4/6 = 2/3

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  1. P(less than 5) = 4/6 = 2/3 P(green) = 4/12 = 1/3 P(red or green) = 9/12 = 3/4 = 3(2)(5) = 30 P(red) and P(white) and P(blue) = 10/20  6/19  4/18 = 1/2  6/19  2/9 = 12/342 = 2/57 P(less than 5) and P(greater than 2) = 4/6  4/6 = 2/3  2/3 = 4/9 9! = 362,880

  2. * order matters 10P3 = 10!/(10 – 3)! = 10!/7! = 720 * order matters 6P4 = 6!/(6 – 4)! = 6!/2! = 360 * order matters * A repeats twice * L repeats three times = 40,320 = 40,320 8! = 3,360 12 2!  3! 2  6 * order does NOT matter 12C4 = 12P4 / 4! = 11,880/4! = 11,880/24 = 495 * 12P4 = 12!/(12 – 4)! = 12!/8! = 11,880 * order does NOT matter 22C4 = 22P4 / 4! = 175,560/4! = 175,560/24 = 7,315 * 22P4 = 22!/(22 – 4)! = 22!/18! = 175,560 * order matters 12P12 = 12! = 479,001,600 * order does NOT matter 107C3 = 107P3 / 3! = 1,190,910/3! = 1,190,910/6 = 198,485 107P3 = 107!/(107 – 3)! = 107!/104! = 107  106  105 = 1,190,910

  3. * order matters 107P3 = 1,190,910 No. 11C4 = 11P4 / 4! = 7920/4! = 7920/24 = 330 11P4 = 11!/(11 – 4)! = 11!/7! = 7,920 * order matters 8P3 = 8!/(8 – 4)! = 8!/4! = 1,680 (combinations of boys)  (combinations of girls) = 10C1 12C3 = 10  220 = 2,200 P(2 juniors, 3 seniors) = (combs. jrs.)  (combs. srs.) Total combinations = 8C2 10C3 = 28  120 = 3360 = 140/357 18C5 8568 8568

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