Bridge cards

How many bridge hands are possible containing 4 spades, 6 diamonds, 1 club, and 2 hearts?

Correct answer:

n =  1244117160

Step-by-step explanation:

C4​(13)=(413​)=4!(13−4)!13!​=4⋅3⋅2⋅113⋅12⋅11⋅10​=715 C6​(13)=(613​)=6!(13−6)!13!​=6⋅5⋅4⋅3⋅2⋅113⋅12⋅11⋅10⋅9⋅8​=1716 C1​(13)=(113​)=1!(13−1)!13!​=113​=13 C2​(13)=(213​)=2!(13−2)!13!​=2⋅113⋅12​=78 s=4+6+1+2=13 n=(4s​)⋅ (6s​)⋅ (1s​)⋅ (2s​)=715⋅ 1716⋅ 13⋅ 78=1244117160

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Math student
3{2*-2}-4{2*-1}<12





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