Question 1196252
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Assign any one of 25 students to the 1st location.            25 options.

Assign any one of remaining 24 students to the 2nd location.  24 options.

Assign any one of remaining 23 students to the 3rd location.  23 options.

Assign any one of remaining 22 students to the 4th location.  22 options.

Assign any one of remaining 21 students to the 5th location.  21 options.


The answer is the product  25*24*23*22*21 = 6375600.
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Solved and thoroughly explained.