Question

A round table conference of prime ministers of 40 countries is to be held. the number of ways in which they can be seated so that the prime Minister of India neither sits with Pakistani counterpart nor with the Chinese counterpart is​

Answer 1

First thing

China doesn’t have PM

Second he will sit on a chair with RUSSIA

Answer 2

Answer:

38!(37) ways seated the prime minister of India neither sits with Pakistan counterpart nor Chinese counterpart.

Explanation:

Take a circle and fix one prime minister = 40!-1 = 39!

Suppose India , Pakistan prime ministers sit together = 38! × 2!

39! - (38! × 2!) = 38! (39 - 2) = 38!(37)

Therefore, 38!(37) ways seated the prime minister of India neither sits with Pakistan counterpart nor Chinese counterpart.