A varsity basketball team consists of 13 players 6 of which are juniors, 4 are s

Question

A varsity basketball team consists of 13 players 6 of which are juniors, 4 are seniors and 3 are sophomores. What is the probability that the starting 5 consists of A) 3 juniors and 2 seniors
B)1 sophomore, 2 seniors and 2 juniors
C) one or two seniors A varsity basketball team consists of 13 players 6 of which are juniors, 4 are seniors and 3 are sophomores. What is the probability that the starting 5 consists of A) 3 juniors and 2 seniors
B)1 sophomore, 2 seniors and 2 juniors
C) one or two seniors A) 3 juniors and 2 seniors
B)1 sophomore, 2 seniors and 2 juniors
C) one or two seniors

Explanation / Answer

13 players -- 6 jun, 4 sen, 3 sophomores

A) P(3 juniors and 2 seniors) = 6c3(4c2)/13c5

B) P(1 sophomore, 2 seniors and 2 juniors) = 3C1(4C2)(6C2)/13C5

C) P(one or two seniors) = P(1 senior, 4 from others) + P(2 seniors, 3 from others)

= {4C1(9C4)+4C2(9C3)}/13C5

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