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a game is played with a circular spinner that contains 7 different colors. the design of the spinner is the order in which the colors are arranged. how many ways can this spinner be designed

Respuesta :

Answer:

This spinner can be designed in 5040 ways.

Step-by-step explanation:

Number of possible arrangements:

The number of possible arrangements of n elements is given by:

[tex]A_{n} = n![/tex]

In this question:

7 colors, so:

[tex]A_{7} = 7! = 5040[/tex]

This spinner can be designed in 5040 ways.

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