SOLUTION: A student is taking a true/false quiz. The quiz has ten questions. If the student guesses every answer, how many different arrangements of answers are possible?

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Question 42381: A student is taking a true/false quiz. The quiz has ten questions. If the student guesses every answer, how many different arrangements of answers are possible?
Found 2 solutions by psbhowmick, Nate:
Answer by psbhowmick(878) (Show Source):
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The first question may be answered in 2 ways.
For each way of answering the first question, the second question may be answered in 2 ways.
Hence the first 2 questions may be answered in 2 x 2 = ways.

For each way of answering the first 2 questions, the third question may be answered in 2 ways.
Hence the first 3 questions may be answered in 2 x = ways.
Following the same way, all the 10 questions may also be answered in = 1024 ways.

Answer by Nate(3500) (Show Source):
You can put this solution on YOUR website!
P(10,10) = 10! = 3,628,800