Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202117 MarchMorning Shift
Exam
JEE Main
Year
2021
Date
17 March
Shift
Morning Shift
Subject
Mathematics
Chapter
Permutation and Combination

JEE Main 2021 · 17 March · Morning Shift · Mathematics · Permutation and Combination

Team A ' ' consists of 7 boys and n girls and Team B ' ' has 4 boys...

Team A ' ' consists of 77 boys and nn girls and Team B ' ' has 44 boys and 66 girls. If a total of 5252 single matches can be arranged between these two teams when a boy plays against a boy and a girl plays against a girl, then nn is equal to:

Options

  1. A55
  2. B22
  3. C44
  4. D66

Correct answer

C. 44

Step-by-step solution

Total matches between boys of both team=C17×C14=28= C1 7 \times C1 4 = 28

Total matches between girls of both team=C1n×C16=6n= C1 n \times C1 6 = 6n

Given, 28+6n=5228 + 6n = 52

⇒n=4⇒ n = 4

Practice Permutation and Combination on Quantrex Academy →

More from Permutation and Combination

All Permutation and Combination questions Full Permutation and Combination list Permutation and Combination JEE Maths PYQsJEE Mathematics PYQs All JEE Main PYQs