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In Mathematics / Middle School | 2014-04-14

Anita and Terry ride the subway on Sundays to visit their grandparents. There are two entrances to the subway from the street: north and south. Inside each entrance is an escalator, elevator, and stairway leading to the first level.

On the first level, there are eight gates. At each end of the first level (north and south), there is an escalator, elevator, and stairway leading directly to the trains.

How many different ways can Anita and Terry go from street level to the trains?

Asked by safa

Answer (2)

We know that they have: 2 entrences 3 ways to chose (escalator,elevator and stairs) 8 gates and again 3 ways to chose (escalator, elevator and stairway)
now you have to multiply it: 2 ∗ 3 ∗ 8 ∗ 3 = 6 ∗ 8 ∗ 3 = 48 ∗ 3 = 144
There are 144 different ways that Anita and Terry can go from street level to the trains:)

Answered by Scryt | 2024-06-10

Anita and Terry have 144 different routes to reach the trains from street level. They choose between entrances, paths to the first level, gates, and paths to the trains. Multiplying the options gives a total of 144 combinations.
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Answered by Scryt | 2024-12-20