Please give me step by step solution A classic childrens toy

Please give me step by step solution:

A classic children\'s toy consists of 14 different blocks that combine to form a rectangle showing a man\'s face. Each block has four sides with alternatives for that part of the face; for example, the block for the right eye might have a closed eye on one side, a partially open eye on another, and so on. A child can turn any block and so change that part of the face, and in this way many different faces can be formed.

How many different faces can be formed by the children\'s toy?

Solution

To understand the problem consider a face with only 3 blocks and 2 alternatives, Label them as 0 and 1

Possible combinations are 000, 001, 010, 011, 100, 101, 110, 111 = 8 = 2^3

Apply same logic where n = number of alternatives and r = number of blocks

Ans is n^r = 4^14