Question

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

• A. $59049$
• B. $49049$
• C. $69049$
• D. None of these

Answer 1

Answer: (A)

$59049$

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, i.e. filling up to $10$ stalls, can be made in

$3\times 3\times ....$ up to $10$ times $=3^{10}=59049$.