OSTIFY s: S11=(Qe, Kh, 24, 3a, Ka, Ah. Ac, Aa, 6h, 7e, 2s) the set of cards S1 T

Question

OSTIFY s: S11=(Qe, Kh, 24, 3a, Ka, Ah. Ac, Aa, 6h, 7e, 2s) the set of cards S1 TLLUSTRA a) We are to form groups/subsets of five (5) cards from ti groups can be formed? 1-(30 points) For parts a)-c), this is the set of 11 cards 1. How many possible (different) ANSWER- b) With reference to the above set of cards, the set S11 above (integer) d arrangements of five (5) cards can be made with ar f()eards can be made with reference to the above set of cards, how many order ANSWER (integer) of drawing, from the set S11 of cards, five (5) cards sequentially and each nation and suit are recorded and then put back in the pile (with replacement) time one card is drawn, its suit How many outcomes are possible in this random e xperiment? ANSWER (integer) )Three (3) DIFFERENT awards (Ai, A2, A3,) are to be presented to selected students from a group of four (4) S S2, S3, S4). How many different outcomes are possible if: Two awards must go to one student and the ther award must go to a different student.

Explanation / Answer

1) a) Number of possible groups can be formed = 11C5 = 11! / (5! * (11-5)!) = 462

b) Number of ordered arrangements = 11P5 = 11! / (11-5)! = 55440

c) Number of possible outcomes = 115 = 161051

d) Number of different outcomes = 4C2 * 2 = 6 * 2 = 12

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