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

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Advance Math

Discreet Math Question:

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

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

2. She has a new idea that includes three of the schoolsteachers. She still wants to divide the 100 students into groups of10. With each student, they will take a picture with every possibleway to choose two of the three teachers, with one on the left andother on the right (So Order Matters). How many photos are going tobe needed in this situation?

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