There are 5 volumes of Mathematics among 25 b | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

$\frac{1}{5!}$

Vedclass · Answer

(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

Similar Questions

In a single throw of a fair die,what is the probability of getting a number less than $7$?

$A$ jar contains $3$ red marbles,$7$ green marbles and $10$ white marbles. If a marble is drawn from the jar at random,what is the probability that this marble is white?

In a single throw of $2$ dice, what is the probability of a doublet?

Out of $40$ consecutive natural numbers,two are chosen at random. The probability that the sum of the numbers is odd is:

The probability that a leap year selected randomly will have $53$ Sundays is

Vedclass Test Series

Exam Paper Generator

Online Exam Module