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August 20, 2014

August 20, 2014

Posted by **mary** on Sunday, October 9, 2011 at 12:58pm.

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 dont think I have the right number. Some help me.

- math -
**Steve**, Sunday, October 9, 2011 at 11:47pmIf 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.

Note: your question was not T/F. The quiz had T/F questions. Your job was to prove that 1024 was the correct answer.

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

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