Question 1 (Unit GTB3)
This question tests your undffstanding of the Counting Theore7rb.
Children's bricks of identical size are to be made in the form of a square prism, as in the diagram below. They are to be painted so that each face is either red or green.
(The group of direct symmetries of a square prism is described ini. Exercise 4.8 of GTB1.)
Use the Counting Theorem to determine how many different such bricks can be made, if two bricks are regarded as the same when a rotation takes one to the other.