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Groups of students?
Everyday a group of 8 students is chosen from a class of 70 for extra credit work. How many different groups can be chosen? What if 10 students are chosen each day?
2 Answers
- ?Lv 71 year agoFavorite Answer
Assuming the order in which the students in a group are chosen, the problem is one of combinations.
If 8 students are chosen for each group, the number of possible groups is C(70,8) [70 choose 8]
C(70,8) = 70!/(8!62!) = 9440350920
If 10 students are chosen for each group, the number of possible groups is C(70,10)
C(70,10) = 70!/(10!60!) = 396704524216
