SOLUTION: Determine how many ways you could be dealt a hand of 5 cards with each of the following outcomes. A flush in hearts? Three jacks and two sevens?

Algebra ->  Permutations -> SOLUTION: Determine how many ways you could be dealt a hand of 5 cards with each of the following outcomes. A flush in hearts? Three jacks and two sevens?      Log On


   

Question 376606: Determine how many ways you could be dealt a hand of 5 cards with each of the following outcomes. A flush in hearts? Three jacks and two sevens?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Flush in hearts:
There are 13 hearts and we are to choose 5.  That's

13 choose 5

or

13C5 = 1287

Three jacks and two sevens?
There are 4 jacks and we are to choose 3

That's 4 choose 3 

or

4C3 = 4

For each of those 4 ways to select the jacks,

there are 4 sevens and we are to choose 2 

That's 4 choose 2

or 

4C2 = 6

We multiply those and get 4*6 = 24 ways.

Edwin