Respuesta :

To start you have to write out the possible combinations 7,6,5,4,3,2,1. There are 7 numbers that can be combined in order to find the number of possibilities so 7*6*5*4*3*2*1 = 5,040

Answer:  There are 5040 distinct ways that these balls can be ordered.

Step-by-step explanation:

Since we have given that

Total number of balls = 7

According to question, each a different color of the rainbow in 7 balls.

We will use "Fundamental theorem of Counting " :

Number of distinct ways that these balls can be ordered is given by

[tex]7!\\\\=7\times 6\times 5\times 4\times 3\times 2\times 1\\\\=5040[/tex]

So, there are 5040 distinct ways that these balls can be ordered.

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