Question

Let there be $3$ apples, $5$ oranges and $7$ mangoes in a basket. The number of ways in which at least one fruit can be selected from the basket is

Answer 1

Number of ways of selecting $3$ apples can be
Selecting zero apple or $1$ apple or $2$ apples or $3$ apples
Hence, the total number of ways of selecting apple $=3+1=4$
Similarly For oranges $=5+1=6$
Similarly for mangoes $=7+1=8$
Total number of ways
$=4\times 6\times 8-1=191$
(We are subtracting $1$, when none of the fruits are selected.)