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The Scooby Doo gang is going to the movies! That's right. Their pizza-ordering debacle hasn't ended their friendship... yet. Enter your answers for this problem as integers. Suppose a row of seats at the movies is 10 seats, and that this row will be filled up completely by the 5 members of the Scooby Doo gang, and 5 strangers. How many arrangements of these 10 people are possible, such that the Scooby Doo gang can all sit adjacent to one another in this row?

Respuesta :

adelekeademolu

Answer:

86400

Step-by-step explanation:

There are 10 seats. If the Scooby Doo gang will seat adjacent, then we can assume them to be 1 group. This means we are to evaluate the number of ways of seating 6 people. This is given by [tex]m = 6![/tex].

But the Scooby Doo gang of 5 can seat within themselves in [tex]5![/tex] ways.

Total number of possible arrangements [tex]=6! \times 5! = 86400[/tex].

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