JEE Main 2021MathematicsPermutation CombinationMediumMCQ

JEE Main 2021 — Permutation Combination Question with Solution

JEE Main 2021 (17 Mar Shift 1)

Question

Team A'' consists of 7 boys and n girls and Team B'' has 4 boys and 6 girls. If a total of 52 single matches can be arranged between these two teams when a boy plays against a boy and a girl plays against a girl, then n is equal to:

Choose an option

Show full solutionCorrect option: C
Correct answer
C4

Step-by-step explanation

Total matches between boys of both team=C17×C14=28

Total matches between girls of both team=C1n×C16=6n

Given, 28+6n=52

⇒n=4

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About this question

This is a previous-year question from JEE Main 2021, 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.