SOLUTION: how many ways can a class of 21 students select 2 of its members as class representative for student government

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Question 781299: how many ways can a class of 21 students select 2 of its members as class representative for student government
Answer by DrBeeee(684) About Me  (Show Source):
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I assume that the two representatives have the same status, that is the order chosen does not matter; i.e. Fred and Mary is same as Mary and Fred. In that case we want the number of combinations of 2 students taken from a population of 21 students. This is given by
(1) n = 21C2 or
(2) n = 21*20/2 or
(3) n = 210
Answer: 210 ways.