Help please! Will give medal!
In how many ways can a teacher arrange 10 students in the front row if there are 60 total students?

Question

bruno102 · Answer

Order does not matter by the way, it is a combination not a permutation.

anonymous · Answer

It certainly sounds like you've already got the answer then, 60 combinations 10, or 7.5394*10^10. Of course, if order did matter it would be 2.7358*10^17.

bruno102 · Answer

I am confused by the answer though. Why would it be 2.7358? and why is there exponents?

anonymous · Answer

You said order did not matter, so ignore the second answer that one used permutations. The only reason I'm using exponents is because 60! is gigantic even dividing 50!*10! does little to reduce the number (that is the definition of a combination, by the way). In non-scientific form the answer would be 75394027500 with 9 significant figures.

bruno102 · Answer

Hmm still a bit confused but thanks.