In how many ways can 5 examination papers be | vedclass

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

Question

(D) The total number of ways to arrange $5$ examination papers is $5! = 120$.To find the number of ways where physics and chemistry papers come togeth

Vedclass · Accepted Answer

$72$

Vedclass · Answer

(D) The total number of ways to arrange $5$ examination papers is $5! = 120$.To find the number of ways where physics and chemistry papers come together,we treat them as a single unit. Now,we have $4$ units (the pair of physics-chemistry and the $3$ other papers),which can be arranged in $4!$ ways.Within the unit,the physics and chemistry papers can be arranged in $2!$ ways.So,the number of ways they come together is $4! 	imes 2! = 24 	imes 2 = 48$.The number of ways they never come together is the total arrangements minus the arrangements where they are together:$120 - 48 = 72$.

In how many ways can $5$ examination papers be arranged so that the physics and chemistry papers never come together?

Similar Questions

In a train,five seats are vacant. In how many ways can three passengers sit?

How many numbers greater than $100$ and divisible by $5$ can be made from the digits $3, 4, 5, 6$,if no digit is repeated?

If ${}^{27}P_{r+7} = 7722 \times {}^{25}P_{r+4}$,then $r = $

How many numbers consisting of $5$ digits can be formed in which the digits $3, 4$ and $7$ are used only once and the digit $5$ is used twice?

How many numbers greater than $1000$ but not greater than $4000$ can be formed using the digits $0, 1, 2, 3, 4$ if repetition of digits is allowed?

Vedclass Test Series

Exam Paper Generator

Online Exam Module