alemt.5) AVA 7) How many 5 card hands from a 52 card deck are there which have t

Question

alemt.5) AVA 7) How many 5 card hands from a 52 card deck are there which have three of a kind? (XXXYZ) (10 pts.) Given a group of 10 men and 12 women, how many com mittees are there with 5 men and 4 women? (10 pts.) Given a set of 16 parents, how many ways can 2 coaches, three assistant coaches, & sçore keeper be chosen? (10 pts.) > 8) 9) @jSUM10 3)10) If 5 boards out of 20 are bad what is the chance that a sample of 53 six will have at least 3 bad boards? (10 pts.) 11) In how many ways can you find whole numbers x1, X2, X3, x4, and Xs each at least 2 so that X1+ X2 + X3 + X4 + X5 = 30? (10 pts.) 12) Complete this induction proof: (15 pts.) n22

Explanation / Answer

Selecting a suit out of 4 suits such that 3 cards are of the same type = 4C1

Selecting a suit out of remaining 3 suits such that 1 different cards can be selected type = 3C2 x 13C1

Selecting a suit out of remaining 2 suits such that 1 different cards can be selected type = 2C1 x 13C1

5 cards hand from a 52 card deck = 4C1 x 13C3 x 3C2 x 13C1 x 2C1 x 13C1

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