# In how many ways can a 12- question true and false exam be answered?

Oct 1, 2017

4096

#### Explanation:

Since there are 12 questions, and each question can be answered in 2 ways then:

1st question can be answered in 2 ways.
2nd question can be answered in 2 ways.

The 2 questions can be answered in $2 \times 2$ ways.
The 3 questions can be answered in $2 \times 2 \times 2$ ways and so on.

So we have:

$2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \implies {2}^{12} = 4096$