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 the chairs from amongst the remaining. The number of possible arrangements is:

`""^4C_3 times "^4 C_3`

`""^4C_2 times "^4 P_3`

`""^4 P_2 times "^4 P_2`

none of these

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