Maths-
General
Easy

Question

From a council of 7 Hindus, 5 Muslims and 4 Christians a committee of 5 is to be formed with 1 Christian and at least two Hindus The number of ways of forming the committee is

  1. 1220
  2. 1240
  3. 1680
  4. 1280

The correct answer is: 1680


    blank to the power of 4 C subscript 1 times to the power of 7 C subscript 2 times to the power of 5 C subscript 2 plus to the power of 4 C subscript 1 times to the power of 7 C subscript 3 times to the power of 5 C subscript 1 plus to the power of 4 C subscript 1 times to the power of 7 C subscript 4 times to the power of 5 C subscript 0

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