Question

A math teacher assigns 3 projects. She gives the students 5 project options to choose frorm How many different groups of projects can the students choose from?

Answer 1

Answer: There would actually be 8 options. I hope this helps out a bit.

Answer 2

10

Explanation:

This is a combination problem since the order does not matter.

nCr = n! / r! * (n - r)!

where n is the number of things (5 projects)

and r is the number of things chosen

! means factorial which is multiply that number and all the numbers below it

5C3 = 5! 5! 5*4*3*2*1

------ = ------------ = ------------

3! ((5-3)! 3! 2! 3*2*1 (2*1)

Canceling like terms leaves

5C3 = 5*4/2 = 20/2 = 10