In how many ways can a committee of 5 people which contains at least 1 clerk be formed?

5655

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5565

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5755

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5855

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none

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Solution

The correct option is B
5565

Number of ways a committee of 5 people which contains at least 1 clerk can be formed = $^{3} C_{1} ^{15} C_{4} +^{3} C_{2} ^{15} C_{3} +^{3} C_{3} *^{15} C_{2}$ =5565

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