Four out of eight students will be selected for a $10000 scholarship. In how many ways can this be done?

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Borys Shumyatskiy eNotes educator | Certified Educator

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Hello! Although $10000 is a number, it does not influence the answer.

Let's select 4 students one by one.

The first student may be any of those 8 possible. After this choice, one less student remain, 8 - 1 = 7. The second student may be one of those 7 that remain (we cannot select the same student twice). 7 - 1 = 6 remain for at this step. The third student may be one of those 6 that remain, 6 - 1 = 5 remain for at this step. Finally, the fourth student may be...

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