SOLUTION: This exercise refers to a standard deck of playing cards. Assume that 6 cards are randomly chosen from the deck. How many hands contain exactly two 4s and two 7s?

Question 1201444: This exercise refers to a standard deck of playing cards. Assume that 6 cards are randomly chosen from the deck.
How many hands contain exactly two 4s and two 7s?
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

There are 4 4s, 4 7s, and 52-4-4 = 44 cards that are neither 4s nor 7s.

Choose the 2 4s C(4,2) = 6 ways.
Choose the 2 7s C(4,2) = 6 ways.
Choose the 2 cards that are neither 4s nor 7s C(44,2) = 946 ways

That's (6)(6)(946) = 34056 hands

Edwin

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