Question

A sales representative can take one of

22

different routes from

City Upper CCity C

to

City Upper ECity E

and any one of

77

different routes from

City Upper ECity E

to

City Upper MCity M.

How many different routes can she take from

City Upper CCity C

to

City Upper MCity M,

going through

City Upper ECity E?

Answer #1

solution:

Given Three cities are C , E and M

CCity C |
ECity E |
MCity M |

**Step -1 : Sales representative moving from CCity C to
ECity E**

** ** Given,

The total No.of different routes from **CCity C
to ECity E** = 22 [remember she may choose any one of the
route]

**Step -2 : Sales representative moving from ECity E to
MCity M**

** **The total No.of different routes
from **ECity E to MCity M =** 77 [she may choose any
one route ]

In first step she have 22 different routes through which she can pass to city E and there she have 77 ways to reach MCity M

Therefore,By product Rule:

Therefore,The Total No.of different routes she can take from CCity C to MCity M Through ECity E = 22 * 77 =1694

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