An examination paper contains two groups each containing 5 questions. A candidate is required to attempt 5 questions but not more than 3 questions from any group. In how many ways can 5 questions be selected?

100

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200

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120

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190

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None of these

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Solution

The correct option is B
200

The number of ways that it can be done = $^{5} C_{2} \times^{5} C_{3}$ + $^{5} C_{3} \times^{5} C_{2}$ = 200

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