Question

There are three routes R1, R2 and R3
from Madhu’s home to her place of
work. There are four parking lots P1,
P2, P3, P4 and three entrances B1, B2, B3
into the office building. There are two
elevators E1 and E2 to her floor. Using
the tree diagram explain how many ways
can she reach her office?

Answer 1

Answer:

72 ways

Step-by-step explanation:

from home she has three ways to come to the building

x = 3

she can park in any of the four parking lots

x = 3 * 4 = 12

she can enter the building through any of the three gates

x = 3 * 4 * 3 = 36

she can go to her office floor through any of the two elevators

x = 3 * 4 * 3 * 2 = 72

hence there are 72 ways to reach the office