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JEE Main 202523 JanuaryEvening Shift
Exam
JEE Main
Year
2025
Date
23 January
Shift
Evening Shift
Subject
Mathematics
Chapter
Permutation and Combination

JEE Main 2025 · 23 January · Evening Shift · Mathematics · Permutation and Combination

The number of ways, 5 boys and 4 girls can sit in a row so that...

The number of ways, 5 boys and 4 girls can sit in a row so that either all the boys sit together or no two boys sit together, is \qquad -

Correct answer

17280

Step-by-step solution

A : number of ways that all boys sit together =5!×5!=5!\times 5! B : number of ways if no 2 boys sit together =4!×5=4!\times 5 ! A∩B=ϕ\mathrm{A} \cap \mathrm{B}=\phi Required no. of ways =5!×5!+4!×5!=17280=5!\times 5!+4!\times 5!=17280
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