Question

In how many ways 10 persons can be arranged such that 3 are never together

Answer 1

Answer:in 2 ways

Explanation: 2 persons togeter

Second way....

1 person

Answer 2

Answer:

They can be arranged in $8 ! \times 3 !$ Ways.

Explanation:

Step by step procedure is as follows,

• The 3 people are considered as together as 1 unit.
• We can take a total number of persons as 8. These persons might get rearranged among themselves.
• So, the number of ways will be 8 ! which is equal to 40320 ways.
• Then, the three people can be rearranged among themselves 3! which equals 6 ways.
• So, on multiplying both values $8 ! \times 3 !$ we will be getting value equal to 241920 ways.