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:

the answer is 15 as there is wrote that number should not scheduled consecutively . Method

5×3 =15

Answer 2

Answer:

10

Step-by-step explanation:

As per the question,

We have been provided the five persons wearing badges with numbers 1,2,3,4,5

And are seated on 5 chairs around a circular table

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

Therefore,

The number of ways of sitting so that no two persons whose badges have consecutive can be calculated as 2 x 5.

Hence, total number of ways of sitting= 2 x 5 = 10