SOLUTION: From an ordinary deck of 52 playing cards, how many 5-card hands could be dealt that consist of exactly 3 diamonds?

Algebra ->  Permutations -> SOLUTION: From an ordinary deck of 52 playing cards, how many 5-card hands could be dealt that consist of exactly 3 diamonds?      Log On


   

Question 822195: From an ordinary deck of 52 playing cards, how many 5-card hands could be dealt that consist of exactly 3 diamonds?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Choose the 3 diamonds in C(13,3) ways
Choose the 2 non-diamonds in C(39,2) ways

Answer = C(13,3)C(39,2) = (286)(741) = 211,926 ways.

Edwin