Answer:
427,518,000 ways.
Step-by-step explanation:
-This is a permutation problem of the form:
[tex]P(n,r)=\frac{n!}{(n-r)!}[/tex]
Where n is the number of objects and r is the number of objects taken at a time.
-Permutation is a linear order or sequence arrangement of a set's elements.
-The number of ways can therefore be calculated as:
[tex]P(n,r)=\frac{n!}{(n-r)!}\\\\\\=\frac{30!}{(30-0)!}\\\\\\=427,518,000[/tex]
Hence, the 30 students can be arranged in 427,518,000 different ways.
