Question

A basket contains $4$ Oranges, $5$ Apples, $6$ Mangoes. The number of ways in which a person can make a selection of fruits from the basket is

• A. $209$
• B. $210$
• C. $211$
• D. $212$

Answer 1

The correct option is A $209$

In a particular selection of fruits, there is either no orange or one orange or two orange or three or four No. of ways for oranges $=1+4=5$

Same as above, number of ways for apples and mangoes are $6=(1+5)$ and $7(1+6)$ respectively.

Total Number of Selecting fruits $=5\times 6\times 7-1$ (No fruit selected )

Total Number of Selecting fruits $=209$