Question:
In how many ways can an examinee answer a set of ten true/false type questions?
Solution:
Number of ways of answering the first question = 2 (either true or false)
Similarly, each question can be answered in 2 ways.
$\therefore$ Total number of ways of answering all the 10 questions $=2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2=2^{10}=1024$