If a club has 20 members. How many different 5 members committee is possible
The number of different 5-member committees possible from a group of 20 members can be calculated using the concept of combinations.
The number of ways to choose 5 members out of a total of 20 members can be found using the formula for combinations, given by:
C(n, r) = n! / (r! * (n-r)!)
where n is the total number of items (in this case, members) to choose from, and r is the number of items (in this case, members) to be chosen at a time.
In this case, n = 20 and r = 5, so the calculation would be:
C(20, 5) = 20! / (5! * (20-5)!)
Simplifying the equation, we have:
C(20, 5) = (20 * 19 * 18 * 17 * 16) / (5 * 4 * 3 * 2 * 1)
Evaluating the expression, we get:
C(20, 5) = 15504
Therefore, there are 15504 different 5-member committees possible from a group of 20 members.