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  • In how many ways can 4 people be seated in a row of 4 chairs if each person can sit in any of the chairs?Option: 1 <img alt="12" src="https

In how many ways can 4 people be seated in a row of 4 chairs if each person can sit in any of the chairs?

Option: 1

12


Option: 2

36


Option: 3

48


Option: 4

24


Answers (1)

best_answer

The first person can choose any of the 4 chairs. 

After the first person has chosen a chair, there are 3 remaining chairs for the second person to choose from. 

After the second person has chosen a chair, there are 2 remaining chairs for the third person to choose from. 

Finally, after the third person has chosen a chair, there is only 1 remaining chair for the fourth person to choose from. 

Thus, the total number of ways to seat 4 people in a row of 4 chairs is given by,

4 \times 3 \times 2 \times 1=24

Therefore, the number of ways for the seating arrangement is 24.


 

 

Posted by

SANGALDEEP SINGH

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