First slide

Permutations

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

Moderate

A

59049
B

49049
C

69049
D

None of these

Solution

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 of 10 stalls, can be made in 3 × 3 × … up to 10 times = 3¹⁰ = 59049.

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