SOLUTION: 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!

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): You can put this solution on YOUR website!

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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