Question

8 chairs are numbered 1 to 8 Two women and 3 men wish to occupy one chair each first the women choose the chairs marked, 1 to 4 then the men select from among the remaining chairs. The no, of seating arrangements is

(a) 1250 

(b) 1360 

(c) 1440 

(d) 1560

Answer 1

Correct option: (c) 1440

Explanation:

Sitting arrangements of 2 women in the chairs marked 1 to 4 numbers = ⁴P₂ = 12

Sitting arrangements of 3 men in the remaining chairs = ⁶P₃ = 120

∴ Total arrangements = 12 x 120 = 1440