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A,B,C,D develop 18 items. Five items joi...

`A,B,C,D` develop `18` items. Five items jointly by `A` and `C`, four items by `A` and `D`, four items by `B` and `C` and five items by `B` and `D`. The number of ways of selecting eight ites out of `18` so that the selected ones belong equally to `A,B,C,D` is

A

`5226`

B

`5626`

C

`4418`

D

`4936`

Text Solution

Verified by Experts

The correct Answer is:
B
`(b)`
Required number of ways of selecting `8` times out of `'18'` so that selected ones belong equally to `A`, `B`, `C`, `D`
`=(.^(5)C_(2))^(2)*(.^(4)C_(2))^(2)+(.^(5)C_(1))^(2)*(.^(4)C_(3))^(2)+(.^(5)C_(3))^(2)*(.^(4)C_(1))^(2)+(.^(5)C_(4))^(2)+(.^(4)C_(4))^(2)`
`=100xx36+25xx16+100xx16+25+1`
`5626`
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