In an MBA entrance examination, a minimum is to be secured in each of the 6 sections to qualify the cut-offs. In how many ways can a candidate fail to secure the cut-offs?
Explanation:
Number of ways in which the candidate fails to secure the cut-offs in no section out of 6 sections = 6Co = 1
Number of ways in which the candidate may/may not secure the cut-offs
= 6Co+ 6C1 + 6C2 + 6C3 + 6C4 + 6C5 + 6C6
= 26 = 64
Thus, the number of ways in which he fails to secure the cut offs in at least one section = 64 − 1 = 63
Hence, option (d).
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