Combinations math question

Question

 A deck of cards contains 5 black cards numbered 5 to 9 and 5 red cards numbered 1 to 5. How many 6-card hands having 4 black cards and 2 red cards can be dealt?

15
50
25
300

Answer 1

# ways to get 4 black cards = 5C4 = 5

# ways to get 2 red cards = 5C2 = 10

 

# of ways to get both of the above is the product, 50.

 

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