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(#M40038389) TEST Category question Keep an EYE

A history exam features 5 questions. 3 of the questions are multiple-choice with four options each. The other two questions are true or false. If Caroline selects one answer for every question, how many different ways can she answer the exam?

Asked In test Bharathi (10 years ago)

Unsolved Read Solution (3)

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logeswaran  (10 years ago)

since , 3 questions as 4 options so=16 ways
2 questions as 2 options so=4 ways
total 20 ways

Is this solution Helpfull? Yes | No (2)  

Pramishan Regmi  (9 years ago)

since there ar three questions with 4 option which can be given in 12 ways
2 questions with two options can be given in 4 ways
Total 12*4=48

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christy arpit arunbhai  (7 years ago)

well, I have solution but I don't understand it. It would be helpful if someone explained me the solution.
Here it is :

This question tests the fundamental counting principle, which states that the total number of choices is equal
to the product of the independent choices. The five separate test questions give you five independent choices. For the
three multiple choice questions there are four options each, whereas for the two true/false questions there are two
options each. Multiplying the independent choices yields (4)(4)(4)(2)(2) = 256 different ways to answer the exam.

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