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In How Many Ways a Committee, Consisting of 5 Men and 6 Women Can Be Formed from 8 Men and 10 Women? - Mathematics

MCQ

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

Options

  • 266

  • 5040

  • 11760

  • 86400

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Solution

11760
Explanation:

Required number of ways = `(""^8C_5xx""^10C_6)`

= `((8xx7xx6)/(3xx2xx1)xx(10xx9xx8xx7)/(4xx3xx2xx1))`

= 11760

Concept: Permutation and Combination (Entrance Exam)
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