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?

Answer 1

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.