Question

In a team party, the manager, the supervisor and the module lead want to sit together. Also, the
developer and the consultant need to sit together for some discussion. In how many ways can a total
of 20 team members be seated around a round table?​

Answer 1

Answer:

A team party, the manager, the supervisor and the want to sit together. total of 20 team members.

Answer 2

The team can sit in 2.5107348e+14 ways.

Given:

A team of 20 members has to sit around a round table. The manager, the supervisor, and the module lead have to sit together. Also, the developer and the consultant have to sit together.

To find:

The number of ways in which the team can sit.

Solution:

We know, to arrange for people to sit around a circular table, we use the formula'

The Number of ways =(n-1)!

where n denotes the number of people whose seat is to be arranged.

In the given question,

three people have to sit together and 2 people have to sit together.

So, the value of n will be 17. (because the arrangement has reduced from 20 to 17)

The number of ways in which the three(the manager, the supervisor, and the module lead) will sit=3!

The number of ways in which 2(the developer and the consultant) will sit=2!

Now,

The number of ways in which all will sit=(17-1)!×3!×2!

=16!×3!×2!

=20,922,789,888,000×12

=2.5107348e+14

So, the team can sit in 2.5107348e+14 ways.

#SPJ3