For a scholarship, at the most n candidates out of 2n + 1 can be selected. If the number of different ways of selection of at least one candidate is 63, the maximum number of candidates that can be selected for the scholarship is
Explanation:
At least 1 and at most n are to be selected
⇒ 2n+1C1 + 2n+1C2 + ... + 2n+1Cn = 63
⇒12(22n+1 - 2) = 63
⇒ n = 3
Hence, option (a).
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.