Question

Solve the problem.

2) There are 5 roads leading from Charleston to Mattoon, 6 roads leading from Mattoon to Toledo,
and 3 roads leading from Toledo to Greenup. How many ways are there to get from Charleston to
Greenup?
A) 180
B) 14
C) 90
D) 30

Answer 1

There will be 90 ways to reach Greenup from Charleston.

Explanation:

Option C: 90 is correct.

Let's name all the ways and try to visualize the roads.

C = Charleston

M = Mattoon

T = Toledo

G = Greenup

Task = Charleston to Greenup. How many different ways to reach?

1 1

2 2 1

C 3 M 3 T 2 G

4 4 3

5 5

6

So, Refer to this above diagram.

If we Start from C then go to 1 and then go to M and then go to 1 and then go to T and then go to 1 and then go G.

If you notice, in this single possibility we have 3 ways: C to 1 to M, M to 1 to T, T to 1 to G.

It means we will have: 5 x 6 x 3 = 90 number of ways to reach greenup from Charleston.