The Number of Committees Consisting of Exactly 3 People That $\frac { 1 } { 6 } n ^ { 3 } - \frac { 1 } { 2 } n ^ { 2 } + \frac { 1 } { 3 } n.$

question 67

Multiple Choice

The number of committees consisting of exactly 3 people that can be formed from a group of n people is given by the polynomial $\frac { 1 } { 6 } n ^ { 3 } - \frac { 1 } { 2 } n ^ { 2 } + \frac { 1 } { 3 } n.$ Find the number of committees consisting of exactly 3 people that can be formed from a group of $24$ people. Round to the nearest whole number.

• A)2600
• B)2016
• C)2024
• D)2120
• E)2596

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Definitions:

Units Produced

The total quantity of finished goods manufactured by a company during a specific period.

Horizontal Axis

In graphing, it is the x-axis, representing the independent variable or the base line against which other variables are measured.

Fixed Cost

Costs that remain constant regardless of production or sales volumes, including expenditures like rent, salaries, and insurance.

Variations in Volume

Changes in the amount of output produced or sold, affecting costs and revenue.