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If r lt s le n " then prove that " ^(n)P...

If `r lt s le n " then prove that " ^(n)P_(s) " is divisible by "^(n)P_(r).`

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To prove that \( P(n, s) \) is divisible by \( P(n, r) \) given that \( r < s \leq n \), we will use the definitions of permutations. ### Step 1: Write the formulas for \( P(n, s) \) and \( P(n, r) \) The formula for permutations is given by: \[ P(n, k) = \frac{n!}{(n-k)!} \] ...
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