There are 15 different apples and 10 different pears. How many ways are apple or a pear and then Jill to pick an apple and a pear?

Options

A. `23xx150`
B. `33xx150`
C. `43xx150`
D. `53xx150`

Answer

A

Explanation

`(a)` If jack picks an apple in `.^(15)C_(1)` ways, then Jill in `.^(14)C_(1)^(10)C_(1)`.
If jack picks a pear in `.^(10)C_(1)` way, then Jill in `.^(15)C_(1)^(9)C_(1)`.
`:.` Total no. of ways `=.^(15)C_(1)^(14)C_(1)^(10)C_(1)+^(10)C_(1)^(15)C_(1)^(9)C_(1)`
`=23xx150`