Question

From a standard deck of cards, find how many five-card hands can be dealt:

(a) consisting of three twos and another pair.

Answer 1

the way to choose three twos out of the four available is 4 choose 3 = 4.
the way to choose a pair from the 12 other cards (we can't choose a pair of 2's now, so 12 are left) is: first choose one of the 12 remaining types of cards, then choose 2 out of the 4 available, so 12 x (4 choose 2) = 12 x 6 = 72.

Therefore, the final answer is 72 x 4 = 288.

Answer 2

wait who are there twelve other cards i thought there would be 24

Answer 3

sorry meant why lol

Answer 4

there are 13 types of cards: 2,3,4,5,6,7,8,9,10,J,Q,K,A. Since we have already chosen 3 two's, there are 12 types of cards to choose the pair from.

Answer 5

oh i was thinking the whole deck lol thanks:)