Question

Use the combination formula below to find the number of outcomes when n = 8 and r = 4. n ! ( n − r ) ! r !

Answer 1

70

Explanation:

A combination is a mathematical calculation of the number of ways a particular set can be arranged where order does not matter.

Plug into the combination formula to solve.

Combination Formula:

`(n!)/(r!(n-r)!)`

`(8!)/(4!(8-4)!)`

`(8!)/(4!(4)!)`

`(8!)/(4*3*2*1*4*3*2*1)`

`(40320)/(576)`

70