Aptitude Question:
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In a basket 3 mangoes, 4 apples, and 4 bananas are there. Find number of ways we select randomly 3 fruits from the basket?

Answer:

It is equal to the number of solutions to x+y+z=3

for 0<=x<=3 and similarly y and z
so answer is (3+3-1)C(3-1)=10 ways

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