There are 5 volumes of Mathematics among 25 b | vedclass

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(A) Total number of ways to arrange $25$ books is $25!$.Consider the $5$ volumes of Mathematics as distinct items. In any random arrangement of $25$ b

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$\frac{1}{5!}$

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(A) Total number of ways to arrange $25$ books is $25!$.Consider the $5$ volumes of Mathematics as distinct items. In any random arrangement of $25$ books,there are $5!$ possible relative orderings of these $5$ volumes.Out of these $5!$ possible relative orderings,only $1$ ordering corresponds to the volumes being in increasing order (from left to right).Since all $5!$ relative orderings are equally likely,the probability that the volumes appear in the specific increasing order is $\frac{1}{5!}$.

There are $5$ volumes of Mathematics among $25$ books. They are arranged on a shelf in random order. The probability that the volumes of Mathematics stand in increasing order from left to right (the volumes are not necessarily kept side by side) is

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