SOLUTION: how many ways can a hand of five cards consisting of three cards from one suit and two cards from another suit be drawn from a standard deck of cards?

Algebra ->  Permutations -> SOLUTION: how many ways can a hand of five cards consisting of three cards from one suit and two cards from another suit be drawn from a standard deck of cards?      Log On


   

Question 300108: how many ways can a hand of five cards consisting of three cards from one suit and two cards from another suit be drawn from a standard deck of cards?
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!

how many ways can a hand of five cards consisting of three cards from
one suit and two cards from another suit be drawn from a standard deck
of cards?

Choose the suit for the three cards any of 4 ways
Choose the suit for the two cards any of 3 remaining ways
Choose the ranks for the three cards any of 13C3 ways
Choose the ranks for the tw cards any of 13C2

Use the multiplication principle:

4*3*13C3*13C2 = 4*3*286*78 = 267,696.

Edwin