Verified Answer :

Formula:


Note: , where nPr is the formula for permutations of n objects taken r at a time.


Example:
How many different committees of 4 students can be chosen from a group of 15?



Answer:
There are possible combinations of 4 students from a set of 15.


There are 1365 different committees.

Answer: \(C(n,r)=\frac{n!}{(n-r)!r!}\) where n represents the total number of objects, and r represents the number of objects being selected at a time.

Step-by-step explanation:

  • Combination is a collection of the items where the order doesn't matter. It is a way to calculate the total outcomes of an event where order of the outcomes does not matter.

The formula for the number of combinations of n things taken r at a time is

\(C(n,r)=\frac{n!}{(n-r)!r!}\)