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In a school building, there are 8 exterior doors and 12 stairways to enter the second floor. Find a total number of ways to reach the second floor

Respuesta :

To reach the second floor you would look at all ways to enter to building(8) and multiply it by the number of ways to reach the second floor (12).

8 x 12 = 96 possibilities

Think of it in groups.

1st door and 12 possible sets of steps
2nd door and 12 possible sets of steps
3rd door and 12 possible sets of steps
4th door and 12 possible sets of steps
5th door and ..., etc.....

There exists total 96 ways to reach the second floor.

Given that:

8 exterior doors then 12 stairways exists, reaching second floor.

The solution can be derived as follows:

Firstly the person will enter the building via one of the 8 doors. That will be in 8 different ways.

Secondly, after entering the building, the same person has total 12 choices of the stairs. Thus that can be done in 12 ways.

By the rule of product in combinatorics, we have in total

[tex]8 \times 12 = 96 \: \rm ways[/tex].

Thus, a person can reach to the second floor by 96 different ways.

Learn more here:

https://brainly.com/question/17889951

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