JEE Main 2017MathematicsPermutation CombinationMediumMCQ

JEE Main 2017Permutation Combination Question with Solution

JEE Main 2017 (09 Apr Online)

Question

The number of ways in which 5 boys and 3 girls can be seated on a round table if a particular boy B1 and a particular girl G1 never sit adjacent to each other, is:

Choose an option

Show full solutionCorrect option: B
Correct answer
B5×6!

Step-by-step explanation

Number of ways = Total - when B1 & G1 sit together

Total ways in which 5 boys+3 girls=8 people can be arranged is 7!

Now, when B1 & G1 sit together the number of ways (other 6and B1G1 grouped together) is 6!×2!

Hence, the required numer of ways is 7!-6!2!=5×6!

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About this question

This is a previous-year question from JEE Main 2017, covering the Permutation Combination chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.