Question

There are 20 students on the school's student council. A special homecoming dance committee is to be formed by randomly selecting 6 students from student council. How many possible committees can be formed?

Answer 1

it means 20C6

Answer 2

use the combination formula :
nCr = n!/(n-r)!r!

Answer 3

do u know about factotial ?

Answer 4

*fACTORIAL

Answer 5

I was confused because it looked like the answer wouldve been 27,907,200 possible committee. I got that by 20 times 6, then kept lowering the number i multiplied by 6 until i got to 15x6

Answer 6

let's check it ...
20C6 = 20!/(20-6)!6!
= 20!/14!6!
= 20*19*18*17*16*15*14!/(14!*6*5*4*3*2*1)
= (20*19*18*17*16*15*)/(6*5*4*3*2*1)
= 19 * 17 * 8 * 15
= 38,760 ways
hope i didnt mistake