JEE Main 2022 — Permutation Combination Question with Solution
JEE Main 2022 (26 Jun Shift 1)
Question
There are ten boys and five girls in a class. Then the number of ways of forming a group consisting of three boys and three girls, if both and together should not be the members of a group, is _____.
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Show full solutionCorrect answer: 1120
Correct answer
1120
Step-by-step explanation
Given, total number of boys is and total number of girls is
So total number of selections
No. of selections in which both are there in group
Required no. of selections
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This is a previous-year question from JEE Main 2022, 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.