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There are 15 different apples and 10 dif...

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?

A

`23xx150`

B

`33xx150`

C

`43xx150`

D

`53xx150`

Text Solution

Verified by Experts

The correct Answer is:
A
`(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`
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