Question

There are $10$ stalls for animals in a ship. The number of ways the shipload can be made if there are cows, calves and horses to be transported, animal of each kind being not less than $10,$ (in a particular stall only one kind of animal can be transported) is

• A. $4^{10}$
• B. $3^{10}$
• C. $30$
• D. None of these

Answer 1

The correct option is B $3^{10}$

Each stall can be filled in $3$ ways as there are three types of animals (animals of each category being not less than $10$)
Shipload, ie, filling up of $10$ stalls, can be made in
$3\times 3\times \cdots$ upto $10$ times $=3^{10}$