Final answer:
To calculate the number of different committees of 4 people that can be chosen from 11 people, we can use the concept of combinations.
Step-by-step explanation:
To calculate the number of different committees of 4 people that can be chosen from 11 people, we need to use the concept of combinations. A combination is a selection of objects in which the order does not matter. The formula to calculate the number of combinations is given by:
C(n, r) = n! / (r!(n-r)!)
where n is the total number of objects and r is the number of objects you want to select.
Plugging in the values from the given question, we get:
C(11, 4) = 11! / (4!(11-4)!) = (11 * 10 * 9 * 8) / (4 * 3 * 2 * 1) = 330
Therefore, there are 330 different committees of 4 people that can be chosen from 11 people.