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If two natural numbers r and s are drawn...

If two natural numbers r and s are drawn one at a time, without replacement from the set S={1,2,3,….n}, then find P`(rlep//slep)` where p`in`S.

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To solve the problem, we need to find the probability \( P(r \leq p \leq s) \) where \( p \) is a natural number drawn from the set \( S = \{1, 2, 3, \ldots, n\} \) and \( r \) and \( s \) are also drawn from the same set without replacement. ### Step-by-step Solution: 1. **Understanding the Set**: The set \( S \) contains \( n \) natural numbers: \( S = \{1, 2, 3, \ldots, n\} \). 2. **Choosing Numbers**: ...
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