Eight chairs are numbered 1 to 8. Two women and three men… — JEE Main 1982 Mathematics PYQ

1982

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

A.
${}^6C_4 \times {}^4C_2$
B.
${}^4P_2 \times {}^4P_3$
C.
${}^4C_2 \times {}^4P_3$
D.
None of these

Show answer

Correct option: D

[1982]

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JEE Main 1982 Mathematics question on Permutations and Combinations