Respuesta :

The seats are arranged in 5040 ways, if 7 people sit in seats labeled A, B, C, D, E, F, G.

Step-by-step explanation:

The given is,

                 7 people sit in seats labeled A, B, C, D, E, F, G.

Step: 1

               No.of people = 7

               No. of seats labeled = 7

               Formula to calculate the number of ways to arrange,

                                      [tex]P_{n} = n![/tex]...................................(1)

               Where, n - Positive integer

Step: 2

               From given, n = 7

               Equation (1) becomes,

                                      [tex]P_{7} = 7![/tex]

                                            = 7 × 6 × 5 × 4 × 3 × 2 × 1

                                            = 5040

                                            = 5040 ways

Result:

         The seats are arranged in 5040 ways, if 7 people sit in seats labeled A, B, C, D, E, F, G.    

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