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JEE Math Practice Question

The probability, of forming a 12 persons committee from 4 engineers, 2 doctors and 10 professors containing at least 3 engineers and at least 1 doctor, is

  1. A.$\frac{129}{182}$
  2. B.$\frac{17}{26}$
  3. C.$\frac{19}{26}$
  4. D.$\frac{103}{182}$

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