SOLUTION: Hi, please help me out! I am struggling with this question. How many ways can a 5-card hand be dealt (from a standard 52 card deck) so that it contains at least one face card?

Algebra ->  Probability-and-statistics -> SOLUTION: Hi, please help me out! I am struggling with this question. How many ways can a 5-card hand be dealt (from a standard 52 card deck) so that it contains at least one face card?       Log On


   

Question 1189449: Hi, please help me out! I am struggling with this question.
How many ways can a 5-card hand be dealt (from a standard 52 card deck) so that it contains at least one face card?
A. 2,940,591
B. 9,140,592
C. 4,910,529
D. 1,940,592
E. 1,940,952
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Number of 5-card hands from a 52-card deck: C(52,5).

Number of 5-card hands from a 52-card deck without getting any of the 12 face cards: C(40,5).

Number of ways a 5-card hand can be dealt from a 52-card deck without having a face card: C(52,5)-C(40,5).

Use a calculator to find the answer is E.