Question: There are 4 identical oranges, 3 identical mangoes and 2 identical apples in the basket. the number of ways in which we can select one or more fruits from the basket is

A: 60
B: 59
C: 57
D: 56

Ans: B
Solution: There are 4 oranges, 3 mangoes and 2 apples.

From 4 oranges we can select either no orange or 1 oranges or 2 or 3 or all 4 oranges.
So No of ways of chosing = 5

Similarly we can chose 0, 1, 2 or 3 mangoes out of 3 mangoes.
and we can chose 0, 1 or all 2 apples out of 2 apples.

So total number of ways of selecting fruit = 5*4*3 = 60
But we have to exclude on case in which no fruit is chosen
Hence required answer = 60 - 1 = 59