Answer
The number of ways to select the three favorite jokes out of the 6 jokes is $20$.
Work Step by Step
We know that:
${}_{n}{{C}_{r}}=\frac{n!}{r!\left( n-r \right)!}$
So, from the provided information,
$\begin{align}
& n=6 \\
& r=3
\end{align}$
Then, we have to find the number of combinations of 6 things take 3 at a time:
$\begin{align}
& {}_{6}{{C}_{3}}=\frac{6!}{3!\left( 6-3 \right)!} \\
& =\frac{6!}{3!3!} \\
& =\frac{6\times 5\times 4\times 3!}{3!3!} \\
& =20
\end{align}$
Thus, the number of ways to select the three favorite jokes out of the 6 jokes is $20$.
