Questions
In an examination a candidate has to pass in each of the papers to be successful. If the total number of ways to fail is 63, how many papers are there in the examination?
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a
6
b
8
c
14
d
None of these
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Correct option is A
Let the number of papers be n.∴ Total number of ways to fail or pass nC0+nC1+nC2+…+nCn=2n.But there is only one way to pass, i.e., when he fails in none.∴ Total number of ways to fail = 2n – 1.∴ From question, 2n – 1 = 63;∴ 2n = 64 = 26∴ n = 6.Similar Questions
is equal to
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