Marc L. answered • 11/30/20

Helping others understand things one step at a time

This is a combinations problem _{12}C_{6} if you have a calculator you can plug it in, if you need to use the formula, this is the following:

12!/(6!(12-6)!)=12*11*10*9*8*7*~~6!~~/(~~6!~~*6*5*4*3*2) (the six factorials cancel, now let's cancel a few other values)

12*11*10*9*8*7/(4*3*5*2*6) (4 * 3 is 12 and 5 * 2 is 10 so we can cancel those out)

11*9*8*7/(3*2) (3 goes into 9 3 times and 2 goes into 8 4 times)

11*3*4*7=**924 ways**