## Algebra and Trigonometry 10th Edition

$120$
If we want to choose $k$ elements out of $n$ regarding the order, not allowing repetition, we can do this in $_{n}P_k=\frac{n!}{(n-k)!}$ ways. The order matters here when injecting, thus we have to use permutations. We have $5$ samples for $5$ spots, thus $_{5}P_{5}=\frac{5!}{(5-5)!}=5!=120$