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

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

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Answer 1 · 2017-10-01T23:47:47

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 $2 \times 2$ $2 xx 2$ ways.
The 3 questions can be answered in $2 \times 2 \times 2$ $2xx2xx2$ ways and so on.

So we have:

$2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \Rightarrow 2^{12} = 4096$ $2xx2xx2xx2xx2xx2xx2xx2xx2xx2xx2xx2=> 2^12= 4096$

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

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