Answer:
[tex]Selection = 17100720\ ways[/tex]
Step-by-step explanation:
Given
[tex]Students = 30[/tex]
[tex]Positions = 5[/tex] i.e. first to fifth
Required
Determine number of selection
1st position = Any of the 30 students
2nd position = Any of the 29 students
3rd position = Any of the 28 students
4th position = Any of the 27 students
5th position = Any of the 26 students
Number of selection is then calculated as:
[tex]Selection = 30 * 29 * 28 * 27 * 26[/tex]
[tex]Selection = 17100720\ ways[/tex]