Answer
The number of ways to select the two favorite jokes out of 6 jokes is $15$ .
Work Step by Step
We know that:
${}_{n}{{C}_{r}}=\frac{n!}{r!\left( n-r \right)!}$
So, from the provided information,
$\begin{align}
& n=6 \\
& r=2 \\
\end{align}$
Then, we have to find the number of combinations of 6 things taken 2 at a time:
$\begin{align}
& {}_{6}{{C}_{2}}=\frac{6!}{2!\left( 6-2 \right)!} \\
& =\frac{6!}{2!4!} \\
& =\frac{6\times 5\times 4!}{2!4!} \\
& =15
\end{align}$
Thus, the number of ways of selecting the two favorite jokes out of 6 jokes is $15$.
