simple Grade 12 data managment question

davethedave said:

a) A bridge hand consists of 13 cards. How many bridge hands include 5 of one suit, 6 cards of another and 2 cards of a third?
My answer key says the answer is 4 134 297 024

I have tried and have no clue how to do it

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pka said:

\(\displaystyle 4\cdot\dbinom{13}{5}\cdot3\cdot\dbinom{13}{6}\cdot2\cdot\dbinom{13}{2}=~?\)

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davethedave said:

Can you tell me why you multiplied by the integers? Where did those values come from?

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