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Simplify nP3nC2+nP0...

Simplify nP3nC2+nP0

A.

n - 5

B.

n - 3

C.

2n - 1

D.

2n - 3

Correct answer is D

nP3nC2+nP0

nP3nC2=n!(n3)!÷n!(n2)!2!

n!(n3)!×(n2)(n3)!2!n!=2n4

nP0=n!(n0)!=1

nP3nC2+nP0=2n4+1=2n3