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Q.

A boy needs to select five courses from 12 available courses, out of which 5 courses are language courses. If he can choose at most two language courses, then the number of ways he can choose five courses is ____________

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answer is 546.

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Detailed Solution

detailed_solution_thumbnail
Languages (5)Other (7)combinations
235C2⋅7C3=350
145Ci⋅7C4=175
055C0⋅7C5=21
total = 546
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