Solve the Problem $P ( n ) = n ^ { 3 } - 3 n ^ { 2 } + 2 n$

question 61

Multiple Choice

Solve the problem.
-The number of ways that the first-, second-, and third-place winners in a singing competition can be selected from n finalists is given by $P ( n ) = n ^ { 3 } - 3 n ^ { 2 } + 2 n$ . If there are6 finalists, how many ways can the first-, second-,
And third-place winners be selected?

• A)120
• B)720
• C)20
• D)216

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Definitions:

Profits

The financial gain realized when the revenue from selling goods or services exceeds the costs, taxes, and expenses involved in its provision.

Efficient Solution

An outcome in which resources are allocated in the most effective manner, maximizing utility or benefit without waste.

Demand Curves

Graphical representations that show the relationship between the price of a good and the quantity demanded by consumers at those prices.

Quantity

The amount or number of units of a product or service.