A true-false test has 12 questions. John guesses each answer. How many different ways are there for him to answer all the questions?

Question

kropot72 · Answer

The number of ways to answer all the questions is$$\large 2^{12}=you\ can\ calculate$$

anonymous · Answer

There are two ways that John could guess each answer: true or false. Therefore, in order to get all possible question answers, you take 2*2*2... or 2^12 to get 4,096 possible ways John could answer. Hope this helps! :D

anonymous · Answer

how would i solve this in the form of a permutation?

sepeario · Answer

You mean like $$nPr$$

anonymous · Answer

yes

sepeario · Answer

I honestly have no idea. I tried putting like 10 different numbers into the permutation calculator and it didn't come up with the answer above..

anonymous · Answer

ahah don't worry about it, I'll just ask my teacher when i see him next time :) thank you though!