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Let ."""^(n)P(r) denote the number of p...

Let ` ."""^(n)P_(r)` denote the number of permutations of n different things taken r at a time . Then , prove that
` 1+1."""^1P_(1)` `+ 2 ."""^(2)P_(2)`` + 3."""^(3)P_(3)``+.....+ n . """^(n)P_(n)``= . """^(n+1)P_(n+1)`

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