In how many ways can 5 examination papers be | vedclass

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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?

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