Answer:
The number of different ways are 22! or 1,124,000,727,777,607,680,000.
Step-by-step explanation:
Consider the provided information.
We need to determine the number of different ways can a class of 22 second graders line up.
We need to select 22 second graders while taking 22 at a time.
So use the permutation formula: [tex]^{n}P_{n}[/tex]
Substitute n=22 and simplify.
[tex]^{22}P_{22}=\frac{22!}{(22-22)!}\\22!=1,124,000,727,777,607,680,000[/tex]
Hence, the number of different ways are 22! or 1,124,000,727,777,607,680,000.