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JEE Main202117 Mar 2021Morning ShiftMathematicsPermutation and CombinationActual

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:

Options

  1. A5
  2. B2
  3. C4
  4. D6

Correct answer

C. 4

Step-by-step solution

Total matches between boys of both team = C 1 7 × C 1 4 = 28 Total matches between girls of both team = C 1 n × C 1 6 = 6 n Given, 28 + 6 n = 52 ⇒ n = 4

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