# 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?

• 266

• 5040

• 11760

• 86400

#### 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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