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Question

Let there be 3 apples, 5 oranges and 7 mangoes in a basket. The number of ways in which at least one fruit can be selected from the basket is

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Solution

Number of ways of selecting 3 apples can be
Selecting zero apple or 1 apple or 2 apples or 3 apples
Hence, the total number of ways of selecting apple =3+1=4
Similarly For oranges =5+1=6
Similarly for mangoes =7+1=8
Total number of ways
=4×6×81=191
(We are subtracting 1, when none of the fruits are selected.)

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