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

1 Answer

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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

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