# math

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Ture or false questions: Your teacher gives a true-false pop quiz with 10 questions.
Show that the number of possible outcomes for the sample space of possible sequences of 10 answers is 1024.
I got false and the number is 182 but don't think I have the right number. Some help me.

• math -

If there were 1 question, there would be two possible sequences: T or F

If there were 2 questions, there would be 4 possible sequences: TT TF FT FF

So, if there were n questions, each can be answered in 2 ways, so you have 2^n possible sequences.

Since the question itself said that the answer is 1024, that was good reasoning to think that 182 was wrong. :-)

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