Funny Fruits. Part-I

There are 4 4 mangoes, 3 3 apples and 2 2 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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The answer is 59.

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1 solution

Vighnesh Raut
Apr 3, 2015

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

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