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Announcing Doubtnut Scholarship Test 3

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Scholarship Test Announcement

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Out of 2n+1 students, n students have to be given the scholarships. The number of ways in which at least one student can be given the scholarship is 63. What is the number of students receiveing the scholarship?

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There are 5 candidates for mathematics , 7 for science and 3 for arts scholarship . Find the number of ways of give one scholarship either for mathematics or for science or for arts.

A child who studies for the sake of earning a scholarship is an example of