Question

Five different cookies and four different drinks are served at the Junior Honor Society reception. In how many ways can Sara select three different cookies and two different drinks?

A. 60
B.10
C.6
D.20
E.30
F.120

Answer 1

`\large \boxed{\mathrm{A. \ 60}}`

Explanation:

`\displaystyle nC_r=(n!)/(r!(n-r)!)`

`5C_3 * 4C_2`

`\displaystyle (5!)/(3!(5-3)!) * (4!)/(2!(4-2)!)=10 * 6 = 60`

Answer 2

`_5C_3\cdot _4C_2=(5!)/(3!2!)\cdot(4!)/(2!2!)=(4\cdot5)/(2)\cdot(3\cdot4)/(2)=2\cdot5\cdot3\cdot2=60`