SOLUTION: Counting Card Hands: How many of the possible 5-card hands from a standard 52-card deck would consist of the following cards? a)Four clubs and one non-club b)Two face cards

Question 387004: Counting Card Hands:
How many of the possible 5-card hands from a standard 52-card deck would consist of the following cards?
a)Four clubs and one non-club
b)Two face cards and three non-face cards
c)Two red cards, two clubs, and a spade
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
nCr=combination of n things taken r at a time.
a)
13C4 * 39C1
= 715 * 39
=27885
.
b)
12C2 * 40C3
=66*9880
=652080
.
c)
26C2*13C2*13C1
=325*78*13
=329550
.
Ed
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