Question 1023143: Sandy and Mario are going into Tuneville Center to hear a band play. They can get in through three different entrances. Each entrance goes into a lobby that has a snack bar in it. There are four doors going from the lobby into the room where the band will play. How many different paths can Sandy and Mario take to get from outside Tuneville Center to their seats in the band room?
Answer by mathmate(429)   (Show Source):
You can put this solution on YOUR website!
Question:
Sandy and Mario are going into Tuneville Center to hear a band play. They can get in through three different entrances. Each entrance goes into a lobby that has a snack bar in it. There are four doors going from the lobby into the room where the band will play. How many different paths can Sandy and Mario take to get from outside Tuneville Center to their seats in the band room?
Solution:
To resume, to get to the band room, one has to go through 2 steps:
1. one of three entrances into a lobby (with a snack bar, yum!).
2. From the lobby, there are four doors to the band room.
With an experiment of multiple steps, the number of outcome is the product of the number of outcomes of each step. This is called the multiplication rule.
So the total number of outcomes (ways) is three * four = 12
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