There are ten members of the debate team: Ann, Bill, Carla, Don, Ed, Frank, Gretchen, Harry, Isabel, and Jen. If they randomly choose three co-leaders of the group, what is the probability that Gretchen, Don, and Carla are chosen as the co-leaders?

Question

Mathematics

Riley Sellers

10 October, 16:30

There are ten members of the debate team: Ann, Bill, Carla, Don, Ed, Frank, Gretchen, Harry, Isabel, and Jen. If they randomly choose three co-leaders of the group, what is the probability that Gretchen, Don, and Carla are chosen as the co-leaders?

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Answers (1)

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Dexter Levy · Answer 1

1/120

Step-by-step explanation:

There are 10 members, and three are chose as co-leaders. The number of possible combinations is:

₁₀C₃ = 120

One of those 120 combinations is Gretchen, Don, and Carla. So the probability is 1/120, or approximately 0.83%.