Permutation and Combination - Arithmetic Aptitude Questions and Answers

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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?

266

5040

11760

86400

None of these

Answer : Option C

Explanation :

Required number of ways =(⁸C₅ x ¹⁰C₆)

= (⁸C₃ x ¹⁰C₄)

= $[\frac { 8*7*6 } { 3*2*1 }$ x $\frac { 10*9*8*7 } { 4*3*2*1 }$ ]

= 11760

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