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 [tex]2\times2\times2\times2=2^4=16[/tex].
Multiple-Choice
There are 5 ways to answer each question so the number of ways to answer this section is
[tex]5\times5\times5\times5\times5=5^6=15625[/tex]
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
[tex]16\times15625=250000[/tex] ways!
It's mind-boggling that only 1 of those ways gets a score of 100%!
