Question

There are four doors to an office. In how many ways can an employee enter the office through one door and leave the office through a different door?

Answer 1

Answer:

8

Explanation:

1 door can be used for going and coming .

2×4=8

Answer 2

In 16 ways can an employee enter the office through one door and leave the office through a different door.

Explanation:

• By the “Principle of counting” this problem can be solved that states “If a process has to be done in 'x' different ways and an another process after that process can be done in 'y' different ways, then both the process can be done in the way like one after the other in (x × y) different ways.

              Assume that P,Q,R,S are the 4 doors of the office.

• If a person Enters on Door P and he has 4 options to get out: P Q R S
• If a person Enters on Door Q and he has 4 options to get out: P Q R S
• If a person Enters on Door R and he has 4 options to get out: P Q R S
• If a person Enters on Door S and he has 4 options to get out: P Q R S

So, totally (4 × 4) ways = 16 ways.

To know more:

The students of a class are made to stand in rows. If 3 student are extra in a row, there would be 1 row less. If 3 students are less in a row, there would be 2 rows more. Find the number of students in the class.

https://brainly.in/question/2059342