Just want to make sure what im doing is correct.

Out of a deck of 52 cards, 12 cards are selected at random w/o replacement, what is the probability of exactl 3 spades and 4 hearts ?

This is what i have so far,

((13/52)(12/51)(11/50)+(13/49)(12/48)(11/47)(10/46))/(52choose12)

But something doesnt seem right

Out of a deck of 52 cards, 12 cards are selected at random w/o replacement, what is the probability of exactl 3 spades and 4 hearts ?

This is what i have so far,

((13/52)(12/51)(11/50)+(13/49)(12/48)(11/47)(10/46))/(52choose12)

But something doesnt seem right

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