Question

There are 4 oranges, 5 apples and 6 mangoes in a fruit basket. In how manyways can a person make a selection of fruits from among the fruits in the basket?

Answer 1

Zero or more oranges can be selected out of 4 identical oranges=4+1=5 ways.
Similarly, for apples number of selection=5+1=6 ways
and mangoes can be selected in 6+1=7 ways.
`therefore`The total number of selection when all the three kinds of fruits are selected`=5xx6xx7=210`
But, in one of these selection number of each kind of fruit is zero and hence this selectionn must be excluded.
`therefore`Required number=210-1=209