Don, Eric, and Finn line up in random order for the cafeteria line. What is the probability that they will line up from front to back in alphabetical order?

Question

Mathematics

Libby

15 April, 11:52

Don, Eric, and Finn line up in random order for the cafeteria line. What is the probability that they will line up from front to back in alphabetical order?

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Answers (1)

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Ronnie Avery · Answer 1

1/6

Step-by-step explanation:

The number of ways they can line up is 3*2*1 = 6. Only one of these is alphabetical order. The probability that they will line up randomly in alphabetical order is 1/6.

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Any of the three can line up first; either of the remaining two can line up second, and the remaining person can line up last. Thus there are 3*2*1 possible orders.