A decision committee of 5 members is to be formed out of 4 Actors, 3 Directors a

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Question
A decision committee of 5 members is to be formed out of 4 Actors, 3 Directors and 2 Producers. In how many ways a committee of 2 Actors, 2 Directors and 1 Producer can be formed ?
Options
A. 18
B. 24
C. 36
D. 32

Correct Answer

36

Explanation

Required Number of ways = $4 C_{2} � 3 C_{2} � 2 C_{1} = 36$ = 36

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