Disco

On the disco goes 12 boys and 15 girls. In how many ways can we select four dancing couples?

Result

n =  16216200

Solution:

n=(12 11 10 9) (15 14 13 12)/(4 3 2 1)=16216200=1.621620107n=(12 \cdot \ 11 \cdot \ 10 \cdot \ 9) \cdot \ (15 \cdot \ 14 \cdot \ 13 \cdot \ 12)/(4 \cdot \ 3 \cdot \ 2 \cdot \ 1)=16216200=1.621620\cdot 10^{ 7 }



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