Question

In how many ways can a 10 question, true-false exam be answered (assume that no questionsare skipped)?

Answer 1

The total number of ways in which a 10 question , true false exam can be answered is

`2^(10)`

Now let's see why this is so :-

Now the first question can be answered in 2 ways (True or false )

Following which second question can be answered in 2 ways (True or false)

Now the total number of ways in which these two can be answered is

`\begin{gathered} 2*2=4 \\ \end{gathered}`

Similarly for 10 questions the total number of ways will be

`2*2*2*2*2*2*2*2*2*2=2^(10)`