A quiz has 4 multiple choice questions. If each has 5 choices, how many outcomes are possible?

If there was only one question then there would be 5 outcomes - A,B,C,D,E

If the quiz had 2 questions then the outcomes would be -

AA, AB, AC, AD, AE,

BA, BB, BC, BD, BE,

CA, CB, CC, CD, CE,

DA, DB, DC, DD, DE,

EA, EB, EC, ED, EE

So there are 5*5 = 5^2 = 25 possible outcomes.

So continuing like this if the quiz had n questions with 5 choices for each question, the the number of possible outcomes would be 5^n.

So for a quiz with 4 questions, the number of possible outcomes = 5^4 = 625

Secure Information

Content will be erased after question is completed.

Enter the email address associated with your account, and we will email you a link to reset your password.

Forgot your password?

Sign Up