Bridge cards

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

Correct result:

n =  1244117160


C4(13)=(134)=13!4!(134)!=131211104321=715 C6(13)=(136)=13!6!(136)!=1312111098654321=1716 C1(13)=(131)=13!1!(131)!=131=13 C2(13)=(132)=13!2!(132)!=131221=78 s=4+6+1+2=13 n=(s4) (s6) (s1) (s2)=715 1716 13 78=1244117160=1.244109

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