The question is: a dance class consists of 22 students, 10women and 12 men. If 5

Question

The question is: a dance class consists of 22 students, 10women and 12 men. If 5 men and 5 women are to be chosen and thenpaired off, how many results are possible? I understand how you need to have 10 choose 5 for womenand 12 choose 5 for men to get 199,584 but why do you then have tomultiply that by 5!? The question is: a dance class consists of 22 students, 10women and 12 men. If 5 men and 5 women are to be chosen and thenpaired off, how many results are possible? I understand how you need to have 10 choose 5 for womenand 12 choose 5 for men to get 199,584 but why do you then have tomultiply that by 5!?

Explanation / Answer

The keyword here is PAIRED OFF As PAIRRED OFF involves permutation, you need to times 5! to pairthem (If you did not times 5!, it is still combination, nopairing) Hope this helps!

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