JEE Advance - Mathematics (1982 - No. 26)
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
$${}^6{C_3} \times {}^4{C_2}$$
$${}^4{P_2} \times {}^4{P_3}$$
$${}^4{C_2} \times {}^4{P_3}$$
none of these