Discreet Math Question: Suppose you have 100 students in school. Principal wants to take photos in...

Discreet Math Question:

Suppose you have 100 students in school. Principal wants to take photos in different ways so that every student thinks they have been treated fairly.

1.She wants to divide 100 students into groups of 10 and take one photo of each group. So no student is in more than one photo and she doesn't care how they are lined up. How many photo are going to need to be taken in this situation?

2. She has a new idea that includes three of the schools teachers. She still wants to divide the 100 students into groups of 10. With each student, they will take a picture with every possible way to choose two of the three teachers, with one on the left and other on the right (So Order Matters). How many photos are going to be needed in this situation?

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Expert Solution

Colby Messinger answered 1 year ago

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