SOLUTION: There are three routes from a person’s home to her place of work. There are four parking lots where she works, three entrances into her building, two elevators to her floor, and on

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Question 1110804: There are three routes from a person’s home to her place of work. There are four parking lots where she works, three entrances into her building, two elevators to her floor, and one route from each elevator to her office door.
a. How many ways can she go from her home to her office?
b. If she makes her various choices at random, what is the probability that she will take Morningside Drive, park in lot A, use the south entrance, and take elevator 1?
c. As she starts her car one morning, she recalls parking lots A and B are closed for repair. What is the probability that she will take Industrial Avenue, park in lot D, use the north entrance, and take elevator 2?

Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
To get the answer to the question a), multiply

   - the number of routes from a person’s home by

   - the number of parking lots where she works by

   - the number of entrances into her building by

   - the number of elevators to her floor by
 
   - the number of routes from each elevator to her office door.

Good problem for the Day of April, 1.

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        April, 1 is an International Fools' day


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Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
It's March 1st.
Synchronize your calendars.