Question

There are $8$ true/false questions in an examination.The number of ways in which this questions can be answered, is

• A. $256$
• B. $1024$
• C. $16$
• D. $64$

Answer 1

The correct option is A $256$

$8$ True or False

Each questions has two choices

Two questions has $2\times 2$ choices

Similarly $8$ questions have ${\left(2\right)}^8$ choices

$\Rightarrow 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\Rightarrow 4\times \times 4\times 4\times 4\Rightarrow 16\times 16$

$\Rightarrow 256$ Choices

Hence the correct answer is $256$