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

There will be 90 ways to reach Greenup from Charleston.

Step-by-step 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.

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap