You are taking a truefalse quiz with 10 questions You are su

You are taking a true/false quiz with 10 questions. You are sure that you know the answer to question 1 and you have no idea how to answer question 10. How many different ways can you answer the rest of the quiz, excluding those two questions? Assume that leaving a question blank is an option. 1,024 59,049 6,561 512 None of the above

Solution

Dear Student

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Given there are 10 questions of which different number of ways to answer question 2 to question 9 needs to be computed.

Now there are 3 possible ways to answer a question i.e. Marked TRUE, Marked FALSE, Left BLANK

Therefore for eight question, Number of ways of answering is 3*3*3*3*3*3*3*3

= 6561 Solution (Option 3)