Question

Five persons wearing badges with numbers 1,2,3,4,5 are seated on 5 chairs around a cir-
cular table. In how many ways can they be seated so that no two persons whose badges have
consecutive numbers are seated next to each other? (Two arrangements obtained by rotation
around the table are considered different.)

Answer 1

Answer:

10

Step-by-step explanation:

Given Five persons wearing badges with numbers 1,2,3,4,5 are seated on 5 chairs around a circular table. In how many ways can they be seated so that no two persons whose badges have  consecutive numbers are seated next to each other .

According to question seats are distinct. It can be arranged in two ways              

      1                                        1

4            3                      3                 4

2             5                      5                 2

So total number of ways will be 2 x 5 = 10