There are
mangoes,
apples and
oranges in a bag, fruits of the same variety being identical. In how many ways can a selection of fruits can be made if there is no restriction.
Assumption : Here, a selection of fruits is supposed to exclude the case of no fruits selected.
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We can select 0 or 1 or 2 or 3 or 4 mangoes(5 ways). Similarly, we can select 0 or 1 or 2 or 3 apples (4 ways) and 0 or 1 or 2 oranges (3 ways). So the number of selections are 5x4x3 = 60. But in these selections, that selection also comes where none of the fruit is selected. Hence, total selections are 60-1=59