# In how many ways can a six question true and false exam be answered?

Oct 25, 2017

64

#### Explanation:

In each question you have two options, T and F.

Then in 6 questions you have 2 options for the first, two for the second, two for the third...

At the end you get 2·2·2·2·2·2 = ${2}^{6}$ options and ${2}^{6}$ = 64.

This formula is also valid for n questions, so if the exams has n questions you have ${2}^{n}$ posible answers