Question

There are $10$ true-false questions in an examination. Then, these questions can be answered in how many ways $?$

• A. $240$ ways
• B. $20$ ways
• C. $1024$ ways
• D. $100$ ways

Answer 1

The correct option is C

$1024$ ways

Compute the total number of ways:

There are $10$ true-false questions.

Each question can be answered in two ways i.e. true or false.

Therefore, the total number of ways is

$$\begin{gathered} 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2 \\ =2^{10} \\ =1024 \end{gathered}$$

Hence, option (C) is the correct option.