SOLUTION: Find the number of possible 7 card hands that contain 3 hearts and 4 black cards. The cards are taken from a standard 52 card deck answer: 13C3 x 26C4 Five cards are drawn

Question 618643: Find the number of possible 7 card hands that contain 3 hearts and 4 black cards. The cards are taken from a standard 52 card deck
answer: 13C3 x 26C4
Five cards are drawn from a standard deck of 52 cards. Find the probability of 2 Aces and 3 Fives.
answer: 4C2 x 4C3 divided by 52C5
My question is why is the first one just C's and the second is divided??I do not understand why there is a difference in solving the two questions. Please help my test is tommarrow an I want to know why they are solved differently. Thanks
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
the 1st question concerns the NUMBER of possible hands of a given type

the 2nd question asks the PROBABILITY of a given type of five card hand, out of all possible five card hands
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