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

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