Jill, who lives in City C, plans to visit 3 different cities, M, L, and S. She plans to visit each city exactly once and return to City C after the 3 visits. She can visit the cities in any order. In how many different orders can she visit the 3 cities

Question

Mathematics

Cheyenne Shah

11 May, 09:37

Jill, who lives in City C, plans to visit 3 different cities, M, L, and S. She plans to visit each city exactly once and return to City C after the 3 visits. She can visit the cities in any order. In how many different orders can she visit the 3 cities

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Answers (1)

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Melissa Yoder · Answer 1

Jill can visit these 3 cities in 6 different orders.

Step-by-step explanation:

As question clearly tells that Jill plan to visit 3 different cities M, L, and S.

She plans to visit each city exactly once and return to City C after 3 visits.

So the different orders in which she can visit 3 cities will be

M L S C

M S L C

L M S C

L S M C

S M L C

S L M C

In other words number of ways she can visit = 3! = 6

So there are 6 orders in which she can visit these three cities.