In how many ways can an examinee answer a set of ten true/false type questions?

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 $=2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2=2^{10}=1024$

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