In how many ways can a committee of 5 people be formed, such that it contains at least 1 social worker?

5440

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2380

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6804

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6488

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None of these

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Solution

The correct option is D
6488

Number of ways in which a committee of 5 people which contains at least 1 social worker can be formed = $^{2} C_{1} ^{16} C_{4} +^{2} C_{2} ^{16} C_{3} = 6488$

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