Respuesta :

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

[tex]2^{10}[/tex]

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

[tex]\begin{gathered} 2\times2=4 \\ \end{gathered}[/tex]

Similarly for 10 questions the total number of ways will be

[tex]2\times2\times2\times2\times2\times2\times2\times2\times2\times2=2^{10}[/tex]

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