Question

Evaluate (n-0) for n=4 and r= 1.
(n-r)!=[] for n=4 and r= 1
(Simplify your answer.)

Answer 1

Question:

Evaluate n!/r!(n-r)!=[ ] for n=4 and r= 1 (Simplify your answer.)

Answer:

`(n!)/(r!(n-r)!) = 4`

Explanation:

Given

`n = 4`
`r = 1`

Required

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

The solution is as follows:

`(n!)/(r!(n-r)!) = (4!)/(1!(4-1)!)`

`(n!)/(r!(n-r)!) = (4!)/(1!*3!)`

Evaluate each factorial

`(n!)/(r!(n-r)!) = (4*3*2*1)/(1*3*2*1)`

`(n!)/(r!(n-r)!) = (4)/(1)`

`(n!)/(r!(n-r)!) = 4`