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  4. A multiple choice question in an examination consists of 5 alternatives in which one or more than one may be correct. The number of different incorrect answers that can be given by an examinee, is

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Q. A multiple choice question in an examination consists of 5 alternatives in which one or more than one may be correct. The number of different incorrect answers that can be given by an examinee, is

Permutations and Combinations

Solution:

${ }^5 C _1+{ }^5 C _2+{ }^5 C _3+{ }^5 C _4+{ }^5 C _5=31$
But 1 is correct. Number of incorrect $=31-1=30$.