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  • Five chairs are occupied by A, B, C, D, and E, who are all facing north. C will only occupy the chair on the left, and B will not occupy any seats to the left of A. How many different way

Five chairs are occupied by A, B, C, D, and E, who are all facing north. C will only occupy the chair on the left, and B will not occupy any seats to the left of A. How many different ways can they sit down?

Option: 1

8


Option: 2

12


Option: 3

16

 


Option: 4

20


Answers (1)

best_answer

Given that,

Five chairs are occupied by A, B, C, D, and E, who are all facing north.

C will sit in 1st position and B will sit somewhere to the right of A.

If C sits in the 1st position, then there are three possibilities.

Case 1: A on 2, so B can be seated on 3, 4, or 5

Then the remaining two can be seated on two chairs in 2 ways

So, the number of ways is given b

3\times 2=6

Case 2: A on 3, so B can be seated on 4 or 5 

Thus, the number of ways is given by

2\times 2=4

Case 3: A on 4, so B will be on 5 

Thus, the number of ways is 2.

Hence, the total number of ways they can sit is given by,

6+4+2=12

Therefore, the number of ways they sit in the chair is 12.

Posted by

Rishi

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