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Question

In a packet there are m different books, n different pens and p different pencils. The number of selections of at least one article of each type from the packet is

A
2m+n+p1
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B
(m+1)(n+1)(p+1)1
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C
2m+n+p
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D
(2m1)(2n1)(2p1)
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Solution

The correct option is D (2m1)(2n1)(2p1)
Since each of (m+n+p) items has 2 choices of being selected or not selected; hence total no. of ways of selecting items =2×2×2×2×.................(m+n+p)times=2m+n+p
but one case in this will be when none of the items is selected.
Therefore, no. of ways of selecting at least one item of each type
(2m1)(2n1)(2p1)
Hence, option 'D' is correct.

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