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`39) In how many ways that 8 members includingthe President (& Vice, president can (bearranged at a round table) so that thepresident and Vice president do not cometogether is_a) 3600 b) 40320 c) 4320 d) None`?
Most Upvoted Answer
`39) In how many ways that 8 members includingthe President (& Vice, p...
Assuming that the order of the members does not matter, there are 7 members left to choose from to fill the remaining positions. Therefore, the number of ways to choose the remaining members is:

7 * 6 * 5 * 4 * 3 * 2 * 1 = 5040

However, since the President is already chosen and cannot be chosen again, we need to subtract 1 from the total number of ways to choose the remaining members:

5040 - 1 = 5039

Therefore, there are 5039 ways to choose 7 members to fill the remaining positions after the President has been chosen.
Community Answer
`39) In how many ways that 8 members includingthe President (& Vice, p...
The total no. of circular arrangements for 8 persons = (8-1)! = 7! = 5040 ---> (1)
The no. of circular arrangements possible if A and B were to sit together = 6! (considering A and B as a single pair).
But, A and B can interchange their positions.
Hence, the no. of arrangements
=
6
!
×
2
=
720
×
2
=
1440




>
(
2
)

So, the total number of arrangements possible if A and B must not sit together, = (1) - (2)
= 5040-1440
= 3600






A) 3600
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`39) In how many ways that 8 members includingthe President (& Vice, president can (bearranged at a round table) so that thepresident and Vice president do not cometogether is_a) 3600 b) 40320 c) 4320 d) None`?
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