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Eight chairs are numbered 1 to 8. Two wo...

Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4, and then the men select th chairs from amongst the remaining. The number of possible arrangements is a.`^6C_3xx^4C_2` b. `^4P_2xx^4P_3` c. `^4C_2xx^4P_3` d. none of these

A

`""^(4)C_(3)xx""^(4)C_(2)`

B

`""^(4)C_(2)xx""^(4)P_(3)`

C

`""^(4)P_(2)xx""^(4)P_(3)`

D

`""^(4)P_(2)xx""^(6)P_(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
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