You have 7 balls that are each a different color of the rainbow. in how many distinct ways can these balls be ordered?

 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

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

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation

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step-by-step explanation: