Q. In an steamer there are stalls for 12 animals and there are hours, cows and calves (not less then 12 each) ready to be shipped in how many ways can the ship load be made?
A) $3^{12} - 1$
B) $3^{12}$
C) $(12)^{3} - 1$
D) $(12)^{3}$
Explanation
(b)
First stall can be filled in 3 ways, second stall can be filled in 3 ways and so on.
$\therefore$ Number of ways of loading steamer
$= 3 \times 3 \times \ldots \times 3(12\ times) = 3^{12}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.