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JEE Main202124 Feb 2021Morning ShiftMathematicsPermutation and CombinationActual

A scientific committee is to be formed from 6 Indians and 8 foreigners, which includes at least 2 Indians and double the number of foreigners as Indians. Then the number of ways, the committee can be formed, is:

Options

  1. A1050
  2. B1625
  3. C575
  4. D560

Correct answer

B. 1625

Step-by-step solution

Indians Foreigners Number of ways 2 4 C 2 6 × C 4 8 = 1050 3 6 C 3 6 × C 6 8 = 560 4 8 C 4 6 × C 8 8 = 15 Total number of ways = 1625

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