Eight chairs are numbered 1 to 8. Two women a | vedclass

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(D) Step $1$: The two women choose their chairs from the chairs marked $1$ to $4$. Since the order of selection matters (as the chairs are numbered),t

Vedclass · Accepted Answer

None of these

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(D) Step $1$: The two women choose their chairs from the chairs marked $1$ to $4$. Since the order of selection matters (as the chairs are numbered),the number of ways is $^4{P_2} = 4 	imes 3 = 12$.Step $2$: After the women have occupied $2$ chairs,there are $8 - 2 = 6$ chairs remaining.Step $3$: The three men choose their chairs from the remaining $6$ chairs. The number of ways is $^6{P_3} = 6 	imes 5 	imes 4 = 120$.Step $4$: The total number of arrangements is $^4{P_2} 	imes ^6{P_3} = 12 	imes 120 = 1440$.Since $1440$ is not among the given options,the correct choice is $(d)$.

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

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