Question 1202684: Five cards are drawn from a standard deck of cards. Three are black and Two are red.
a. How many possibilities are there?
b. If exactly one of the red cards is a face card. How many possibilities are there?
Answer by greenestamps(13214)   (Show Source):
You can put this solution on YOUR website!
This is a straightforward problem for giving you practice using "n choose r"....
a. 3 black and 2 red
We need to choose 3 of the 26 black and 2 of the 26 red:
C(26,3)*C(26,2)
b. same but exactly one of the reds is a face card.
We need to choose 3 of the 26 black cards, 1 of the 6 red face cards, and 1 of the other 20 red cards:
C(26,3)*C(6,1)*C(20,1)
You can do the calculations.
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