If you were given a five-question multiple choice test that has four possible answers for each question (a,b,c,d), how many ways could you answer all the questions on the test if you do not put down the same answer for two consecutive questions?
4 choices for the first answer and 3 choices each for the other 4 answers =
4 * 3^4 =
4 * 81 =
324 ways
