Funny Fruits. Part-III

Probability Level 2

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 at least one of each kind is selected ?

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The answer is 24.

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Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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2 solutions

Vighnesh Raut
Apr 3, 2015

First select one from each fruit so that we have at least one of each fruit with us. Now, we are left with 3 mangoes, 2 apples and 1 orange whose selections can be made in 4x3x2=24 ways (To know how the selections are made, refer to my solution here ) .

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Bk Lim
Apr 5, 2015

The number of mangoes chosen can be 1,2,3 or 4 : 4 ways

The number of mangoes chosen can be 1,2 or 3 : 3 ways

The number of mangoes chosen can be 1 or 2 : 2 ways

4 × 3 × 2 = 12 4\times3\times2=12

0 Helpful 0 Interesting 0 Brilliant 0 Confused

@BK Lim It should be 24 not 12

rajdeep das - 4 years, 8 months ago

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