Question 1000835
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There are 2 ways of answering the 1st true-false question.
There are 2 ways of answering the 2nd true-false question.
...
There are 2 ways of answering the 8th true-false question.

That's 2x2x2x2x2x2x2x2 = 2<sup>8</sup> ways of answering the 8 
true-false questions.

For each of those ways of answering the true-false questions, 

There are 4 ways of answering the 1st multiple choice question.
There are 4 ways of answering the 2nd multiple choice question.
...
There are 4 ways of answering the 7th multiple choice question.

That's 3x3x3x3x3x3x3 = 3<sup>7</sup> ways of answering the 8 
true-false questions.

Answer: 2<sup>8</sup>4<sup>7</sup> = 4194304 ways.

Edwin</pre>