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You work as an assistant for a local musical theatre group, the Main Street Theatre Company. The company is putting on a production of Les Misérables this year, and they need your help planning it.
All the roles have now been cast, and the lead actors playing the following parts are gathered around a large circular table for their first read: Jean Valjean, Inspector Javert, Thénardier, Enjolras, Marius, Fantine, adult Cosette, adult Éponine, and Madame Thénardier. It is your job to seat these 9 actors, the 3 producers, and the director around the table.


If the 9 actors must sit together, how many ways are there to seat the 13 people around the table?

8,709,120
362,880
6,227,020,800
259,459,200

Respuesta :

MrRoyal

There are 8,709,120 ways to arrange the people around the table

How to determine the number of ways?

The given parameters are:

People = 13

Actors = 9

If the actors must seat together, then the actors must be grouped as 1.

The 9 actors can be arranged in 9! ways

Now, we have 1 group + 4 individuals.

This equals 5 people (in theory)

The 5 people can be arranged in 5! ways

So, the number of ways is

Ways= 9! * 5!

Evaluate

Ways = 8,709,120

Hence, there are 8,709,120 ways to arrange the people around the table

Read more about combination at:

https://brainly.com/question/11732255

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