Question

In a steamer, there are stall for 12 animals and there are horses, 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. ${12}^3$

Answer 1

The correct option is B $3^{12}$

The first stall can be filled in $3$ ways, the second in $3$ ways and so on.

Similarly the $2th$ stall can be filled in $3$ ways.

Thus the ways of loading the steamer is $3\times 3\times 3\times \mathrm{3.....}\times 3\left(12times\right)=3^{12}$