Question 1153215: a multiple choice test has 6 questions , and there are 5 possible choices to each questions , how many different sets of answers are possible? thanks!
Answer by MathLover1(20850)   (Show Source):
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The fundamental counting principle states that if  and  are independent events, and there are  ways for event to happen and  ways for event to happen, then there are  ways for both events to happen.
We are given that there are  questions, and each question has  choices.
Thus, there are
 ways to answer the first question,
ways to answer the second question,
ways to answer the third question,
ways to answer the fourth question,
ways to answer the fifth question, and
ways to answer the sixth questions
To find the total number of ways to answer the whole test, we multiply these all together.
We get that there are  different ways to answer the whole test, so there are different answer keys possible for this test.
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