The number of ways to select one or more book | vedclass

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Question

(B) The total number of ways to select any number of books (including zero) from $n$ distinct books is given by the sum of combinations: $\binom{n}{0}

Vedclass · Accepted Answer

$63$

Vedclass · Answer

(B) The total number of ways to select any number of books (including zero) from $n$ distinct books is given by the sum of combinations: $\binom{n}{0} + \binom{n}{1} + \binom{n}{2} + \dots + \binom{n}{n} = 2^n$.To select one or more books,we must exclude the case where zero books are selected (i.e.,$\binom{n}{0} = 1$).Therefore,the number of ways to select one or more books from $n$ books is $2^n - 1$.For $n = 6$,the number of ways is $2^6 - 1 = 64 - 1 = 63$.

The number of ways to select one or more books from $6$ books is:

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