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Show that P(n,n)=P(n,n-1)"For all positi...

Show that `P(n,n)=P(n,n-1)`"For all positive integers."

Text Solution

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L.H.S.`=""^nP_n=(n!)/((n-n)!)=(n!)/(01)=(n!)/1=n!`
`R.H.S.=""^nP_(n-1)=(n!)/((n-n+1)!) =(n!)/(1!)`
`:.L.H.S.=R.H.S.`
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