Out of 6 books,in how many ways can a set of | vedclass

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(B) For each of the $6$ books,there are $2$ choices: either to include the book in the set or to exclude it.Since there are $6$ books,the total number

Vedclass · Accepted Answer

$63$

Vedclass · Answer

(B) For each of the $6$ books,there are $2$ choices: either to include the book in the set or to exclude it.Since there are $6$ books,the total number of ways to choose any number of books (including the case of choosing no books) is $2^6 = 64$.We are asked to choose a set of one or more books,so we must exclude the case where no books are chosen.Therefore,the required number of ways is $2^6 - 1 = 64 - 1 = 63$.

Out of $6$ books,in how many ways can a set of one or more books be chosen?

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