A quiz consists of 3 true-or-false questions and 2 multiple choice questions. The multiple choice questions have 4 options each. How many ways can a student complete the quiz?

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A quiz consists of 3 true-or-false questions and 2 multiple choice questions. The multiple choice questions have 4 options each. How many ways can a student complete the quiz?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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ok I got lost

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wait i got it
is it 128?
based on what you put there I also multiplied 4^2
is that it?
why?
well you put 2^3 for the true or false which has 2 choices and 3 questions, therefore for the multiple choice which has 4 choices and 2 questions it should be 4^2
and then I just multiplied them together and I got 128
multiple choice questions have 3 options each.
oh sorry that was a mistake it was actually 4 sorry
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I didn't noticed I wrote the wrong number
ok same principle but it would be 2^4 not 4^2
for some odd reason I still get 128....
need some more input
but 2^4 is the same as 4^2 they are both 16
2^4 = 4^2
2 is a factor of 4 but if you did not have example 3^2 is not = 2^3
@Directrix please help
I assume that the T/F questions are all together on the test in one section and the same for the MC questions. And, I assume that the student answers every question - no blanks. For the 3 T/F questions there are 2 ways to answer each one. That gives 2*2*2 = 8 ways to answer the T/F questions. For the 2 MC questions, there are 4 ways to answer each one. That gives 4*4 = 16 ways to answer them. To answer the entire test with the T/F questions all together and the M/C questions all together, I get 2*2*2*4*4 = 128 ways to answer the test.
OMG I WAS RIGHT!! :D
thank you sooo much
can I ask you one more?
Only if my answer is correct. Notice that I had to make those assumptions.
true but you are 99% of the time correct so I have a high probability of it being the correct answer :)
and can I ask you one more question in a new one?
Okay.
@Directrix thanks (still think 2^4)

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