SOLUTION: A poker hand consists of 5 cards consists of 5 cards dealt from an ordinary deck of 52 playing cards. How many different hands are there consisting of four hearts and one spade? I

Algebra ->  Probability-and-statistics -> SOLUTION: A poker hand consists of 5 cards consists of 5 cards dealt from an ordinary deck of 52 playing cards. How many different hands are there consisting of four hearts and one spade? I      Log On


   



Question 654228: A poker hand consists of 5 cards consists of 5 cards dealt from an ordinary deck of 52 playing cards. How many different hands are there consisting of four hearts and one spade? I have tried nPr and nCr with 26C5 and 26P5 but that hasn't come with my desired answer of 9295. I would like to know to get to the answer because I can't seem to find a way to get to the answer.
Answer by tomlaidlaw(14) About Me  (Show Source):
You can put this solution on YOUR website!
Combination of 13 cards taken 4 at a time x 13 cards taken 1 at a time.
13C4=715, 13C1 = 13 715x13 = 9295
Tom Laidlaw