Question

Assume that a test has 15 questions, each with 3 choices for the answer. An answer sheet has one answer for each question. How many different answer sheets are possible?

Answer 1

This looks like regular multiplication rule.

Answer 2

I thought so, but it said the answer was wrong.

Answer 3

\[3^{15} \]

Answer 4

Think about it- starting with a point, every twig 'possibility tree' branches into 3 new twigs with each question, 15 times.

Answer 5

Alright, thanks!