Question
6 elementary classes will be chosen to participate in a school improvement survey. There are 22 elementary classes in the school. In how many ways can the classes be chosen?
Answers
GPT 3.5
To find the number of ways in which 6 elementary classes can be chosen from 22, we can use the combination formula.
The formula for combination is given by:
C(n, r) = n! / (r!(n-r)!)
Where n is the total number of classes (22) and r is the number of classes to be chosen (6).
Plugging in the values:
C(22, 6) = 22! / (6!(22-6)!)
C(22, 6) = 22! / (6!*16!)
C(22, 6) = 319,770
Therefore, there are 319,770 ways in which 6 elementary classes can be chosen from 22.
The formula for combination is given by:
C(n, r) = n! / (r!(n-r)!)
Where n is the total number of classes (22) and r is the number of classes to be chosen (6).
Plugging in the values:
C(22, 6) = 22! / (6!(22-6)!)
C(22, 6) = 22! / (6!*16!)
C(22, 6) = 319,770
Therefore, there are 319,770 ways in which 6 elementary classes can be chosen from 22.