Answer:
60,480
Step-by-step explanation:
To find the number of ways that Paul can arrange his trophies, we can use the permutation formula.
The permutation formula is:
[tex]_{n}P_{k}=\dfrac{n!}{(n-k)!}[/tex]
n = 9
k = 6
Now let's put them into the formula.
[tex]_{9}P_{6}=\dfrac{9!}{(9-6)!}[/tex]
[tex]_{9}P_{6}=\dfrac{9!}{3!}[/tex]
[tex]_{9}P_{6}=\dfrac{9!}{3!}[/tex]
[tex]_{9}P_{6}=60,480[/tex]
There are 60,480 different ways that Paul can arrange his trophies on the shelf.
