SOLUTION: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck. How many hands contain exactly two 4s and two 6s.

Algebra ->  Permutations -> SOLUTION: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck. How many hands contain exactly two 4s and two 6s.       Log On


   



Question 1078928: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck. How many hands contain exactly two 4s and two 6s.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
There are 6ways to get exactly 2 4s and 6 ways to get exactly 2 6s.
This is multiplied by 44 other cards that can be chosen for the fifth card that are neither a 6 nor a 4.
36*44=1584 ways.
This is not the number of two pair, because there any pair could be chosen, and there are 13 different ranks.