Answer 1

Here, n = No. of committee members = 10

Consider 'President' and 'Vice-President' as one unit.

So there are 1 + 8 = 9 members to be arranged around a table.

Such arrangements are (9 – 1)! = 8! and corresponding to each of these 8! arrangements, the President and the Vice-President can interchange their places in 2! ways.

∴ the total number of circular arrangements of 10 committee members in which President and Vice-President sit together

= 8! × 2!

= 2(8!)