prove that
p(n,r)=n.p(n-1,r-1)
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JUST DOING TP
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Solution :
.nPr=.nCr⋅r!
=n!(n−r)!⋅r!⋅r!
=n!n−r!.
=n(n−1)!⋅(r−1)!
=n⋅(n−1)Cr−1⋅(r−1)!
n⋅(n−1)Pr−1
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