Question:
For a scholarship, n out of $2n + 1$ students are to be selected. If the number of different ways in which at least one student can be selected is 63, then the maximum number of students to be selected are:
For a scholarship, n out of $2n + 1$ students are to be selected. If the number of different ways in which at least one student can be selected is 63, then the maximum number of students to be selected are:
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In combination problems, use the formula for selecting r items from n, and ensure you consider the constraints like "at least one."
Updated On: Aug 5, 2025
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The Correct Option is B
Solution and Explanation
We calculate the number of ways in which at least one student can be selected using combinations, then use the given value of 63 to determine the maximum number of students to be selected.
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