Prove that: (i) ` ""^(n)P_(n)=""^(n)P_(n-1) " (ii) "^(n)P_(r)=n* ""^(n-1)P_(r-1) " (iii) "

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Prove that \( n(n-1)(n-2) \ldots \ldots(n-r+1)=\frac{n !}{(n-r) !} \) Prove that \( n(n-1)(n-2) \ldots \ldots(n-r+1)=\frac{n !}{(n-r) !} \)
Prove that: \[ \frac{n !}{(n-r) !}=n(n-1)(n-2) \ldots(n-(r-1)) \] Prove that: \[ \frac{n !}{(n-r) !}=n(n-1)(n-2) \ldots(n-(r-1)) \]
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