Fruit Mania...
Probability
Level
3
Find the number of ways of selecting exactly 4 fruits from 5 apples, 4 mangoes, and 3 oranges where all the fruits of same kind are identical.
The answer is 14.
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1 solution
Taking all 4 of one suit - ie either 4 apples or all 4 mangoes = 2 ways. Similarly, Taking 4 from two varieties simultaneosuly: Apples & Mangoes = 3 ways Mangoes & Oranges = 3 ways Oranges & Apples = 3 ways Taking 4 from three varieties simultaneously ie apples & Mangoes & oranges = 3 ways
Total = 14 ways