There are 12 girls and 15 boys in a class.In how many ways can we form 4 pairs for a dance?
sparky, why to multiply with 4!? Isn't it just (12C4)*(15C4)
you multiply by 4! to count the different ways to arrange the pairs. it is (12C4)*(15C4) to count the ways to choose the boys/girls from their respective groups. we have 4 spaces for 4 pairs. 1st space is 4 ways, 2nd space is 3 ways and so on...
If your mind can conceive it and your heart can believe it, have faith that you can achieve it.