How many ways are there to choose a committee of 7 people from a group of 10 people?

Question

anonymous · Answer

Since order of the 7 people does NOT count, you are dealing with a combination.

So you want 10 C 7, a combination of 7 from 10 people.

So compute 10  C  7.

anonymous · Answer

how do i compute 10 C 7

anonymous · Answer

Does your teacher allow you to use a calculator to compute  10 C  7?

anonymous · Answer

yea but how would i put that in the calcalator ?

anonymous · Answer

do you know where the combination function, C, is on your calculator? It's probably in your probability menu.

so you type 10 C 7, then enter.

anonymous · Answer

$$_{10}\text{C}_{7} =\frac{ 10! }{ 7!\,(10-7)! }=\frac{ 10! }{ 7!\,3! }$$