Team A ' ' consists of 7 boys and n girls and Team B ' ' has 4 boys and 6 girls. If a total…

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:
  1. 5
  2. 2
  3. 4
  4. 6

Solution

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

Asked in: JEE Main 2021 (17 Mar Shift 1)

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