Question

a student has 6 different colored pencils and wants to arrange 4 of them in a row. how many different arrangements can be made?
_{6}p_{4} = ?

Explanation:

Step1: Recall permutation formula

Permutation formula: $P(n,k)=\frac{n!}{(n-k)!}$ where $n=6$, $k=4$.

Step2: Calculate factorial values

$6!=6×5×4×3×2×1=720$, $(6-4)!=2!=2×1=2$.

Step3: Compute the result

$P(6,4)=\frac{720}{2}=360$.

Answer:

360