Question

How many ways can Hannah give 3 of her 8 T-shirts to her younger sister?

A.
40,314

B.
120

C.
336

D.
56

Answer 1

use the 8C3

Answer 2

now, can u evaluate the value of 8C3 ?

Answer 3

hint :
nCr = n!/r!(n-r)!

Answer 4

hmmmmm, I still am confused.

Answer 5

what's the n, C, and r?

Answer 6

actually, it is the general formula of combination. also u have know about the "factorial", like
3! = 3 * 2 * 1 = 6

Answer 7

ok. Can u help me solve the variables? what they should be? I was never good with this.

Answer 8

8C3, in this case knowed n=8 and r=3. by using the formula above, it can be
8C3 = 8!/3!(8-3)! = 8!/3!5! = 8 * 7 * 6 * 5! / 3*2*1*5! (cancel out the 5!)
= 8 * 7 * 6 / 3 * 2 * 1 = 8*7*6/6 (cancel out the 6) = 8 * 7 = 56

Answer 9

so, there are 56 ways

Answer 10

thank you for your help :)