Question

the Prime Minister of 8 countries sit at a round table. in how many ways can they sit , if Indian and Pakistan Prime Minister are not to sit together

Answer 1

We have been given that the Prime Minister of 8 countries sit at a round table.

We know that n different things can be arranged on a circle by $(n-1)!$ ways.

Therefore, total number of arrangements is given by

[tex](8-1)!\\ =7!\\ =5040[/tex]

Now, number of ways in which Indian and Pakistan Prime Minister can sit together is given by

[tex]6!2!\\ = 1440\\[/tex]

Therefore, the number of ways in which both prime are not sit together is given by

[tex]5040-  1440 =3600[/tex]

Total number of ways in which India and Pakistan prime minster are not sit together is 3600.

Answer 2

Answer:

3600 ways India and Pakistan prime minister cannot sit together