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. $^{6} C_{3} \times^{4} C_{2}$ b. $^{4} P_{2} \times^{4} P_{3}$ c. $^{4} C_{2} \times^{4} P_{3}$ d. none of these

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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.

^{6} C_{3} \times^{4} C_{2}

^{4} P_{2} \times^{4} P_{3}

^{4} C_{2} \times^{4} P_{3}

d. none of these

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^{6} C_{3} \times^{4} C_{2}

^{4} P_{2} \times^{4} P_{3}

^{4} C_{2} \times^{4} P_{3}

d. none of these

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