- #1

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How do you determine that this should be [itex]5^{7}[/itex] and not [itex]7^{5}[/itex]?

- Thread starter MathWarrior
- Start date

- #1

- 268

- 4

How do you determine that this should be [itex]5^{7}[/itex] and not [itex]7^{5}[/itex]?

- #2

Mentallic

Homework Helper

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For two people, you fix the grade of the first person, and give the 5 grades to the next person, and then change the grade of the first person, and again give the 5 grades to the next person. Do this for all 5 grades of the first person. That's essentially 5*5 = 5

When you have a 3rd person, similarly you give him a grade and then go through all the possible ways to give a grade to the other two people, which we know is 5

etc...

- #3

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So, the second person will also have 5 choices of grades. The third person and so on will follow in the same manner.

Hence, you will get 5 x 5 x 5 x 5 x 5 x 5 x 5 = 5^7 ways

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