Question

An exam consists of 4 true/false questions and 6 multiple-choice questions with a, b, c, d, and e as

Answer 1

Answer:

Step-by-step explanation:

To answer this problem, you break the answer into two parts, one part for the true/false section and another part for the multiple-choice section.

True/False

There are 2 ways to answer each of the 4 true/false questions, T or F.

The number of ways to answer the trur/false section is $2\times2\times2\times2=2^4=16$.

Multiple-Choice

There are 5 ways to answer each question so the number of ways to answer this section is

$5\times5\times5\times5\times5=5^6=15625$

You can answer the T/F section in 16 ways and the M/C section in 15625 ways, so the entire exam can be answered in

$16\times15625=250000$ ways!

It's mind-boggling that only 1 of those ways gets a score of 100%!