A committee is going to select
30 students from a pool of 1000 to receive scholarships.
How may ways could the students be selected if each scholarship
is worth
(a) the same amount?
(b) a different amount?

Question

A committee is going to select
30 students from a pool of 1000 to receive scholarships.
How may ways could the students be selected if each scholarship
is worth
(a) the same amount?
(b) a different amount?

rock_mit182 · Answer

@wagnermar cpuld you help me out ?

anonymous · Answer

sorry i dont know how to solve this.... they are both very large numbers

rock_mit182 · Answer

Thanks anyway

anonymous · Answer

In (a) the order of selection doesn't matter, so you're counting combinations. That's C(1000,30) = 1000!/(970! 30!), though the factorial form will blow up on most real calculators. It's about 2.43x10^57.

In (b), each order of selection is different (the same students selected in a different order receive different amounts), so you're counting permutations. P(1000,30) = 1000!/30!, or about 6.44x10^89.

rock_mit182 · Answer

holy trap you're tight biggest answer I've ever seen

rock_mit182 · Answer

I'm going to trust in you, thanks a lot beautiful and smart girl

anonymous · Answer

no problem! :D