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How many different three person study groups can be formed from a class of nineteen students?

How many different three person study groups can be formed from a class of nineteen students?

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Answer #1

We have to select 3 persons from a class of 19 students.

hence the number of different three person study groups can be formed from a class of nineteen students

19C3
= 19!/ (3!*(19-3)!)
= 19!/(3!*16!)
= (19*18*17)/(3*2)
= 969

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