Sum

A committee of 10 members sits around a table. Find the number of arrangements that have the president and the vice-president together.

Advertisement Remove all ads

#### Solution

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!)

Concept: Concept of Permutations - Circular Permutations

Is there an error in this question or solution?

Advertisement Remove all ads

#### APPEARS IN

Advertisement Remove all ads

Advertisement Remove all ads