Question

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

Answer 1

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.

Answer 2

how do i compute 10 C 7

Answer 3

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

Answer 4

yea but how would i put that in the calcalator ?

Answer 5

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.

Answer 6

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