Question

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 i to 4; and then the men select the chairs from amongst the remaining. The number of possible arrangements is

(a) ⁶C₃ x ⁴C₂

(b) ⁵²C₅

(c) ⁵²C₄

(d)  None of these

Answer 1

The correct option is (d)  None of these

Explanation:

Since, the first 2 women select the chairs amongst 1 to 4 

⇒ ⁴P₂.

Now, from the remaining 6 chairs, three men could be arranged in ⁶P₃. 

.'. Total number of arrangement S = ⁴P₂ x ⁶P₃.