SOLUTION: Five cards are drawn frm an ordinary deck of 52 cards. In how many ways is it possible to draw two red cards and three black cards

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Question 1197303: Five cards are drawn frm an ordinary deck of 52 cards. In how many ways is it possible to draw two red cards and three black cards
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


Number of ways to draw 2 of the 26 red cards: "26 choose 2".
Number of ways to draw 3 of the 26 black cards: "26 choose 3".

Number of ways to do both: "26 choose 2" times "26 choose 3".

C%2826%2C2%29%2AC%2826%2C3%29

%28%2826%2A25%29%2F%282%2A1%29%29%2A%28%2826%2A25%2A24%29%2F%283%2A2%2A1%29%29

325%2A2600+=+845000

ANSWER: 845,000 ways