A question paper contains eight questions and there is an alternative question for each. In how many ways can one question or more be selected?

8^{3} - 1

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8^{3} + 1

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3^{8} + 1

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3^{8} - 1

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Solution

The correct option is D $3^{8} - 1$
If a particular question is to be done, it can be selected in 2 ways. But it can be rejected too, so the number of ways of dealing with one question is 3. Thus, questions can be dealt in $3^{8}$ ways; but this includes the case when all questions have been rejected; hence, leaving that case the required number = $3^{8} - 1$ .

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