If you want to evaluate c(n,n), you'll need to know the concepts of factorials, combinations and permutations. This guide will cover these topics, as well as how to correctly evaluate c(n, n).
What is c(n,n)?
c(n,n) is a type of mathematical expression used to describe a combination of elements. Specifically, c(n,n) is a combination of n different elements taken n at a time.
What are Factorials?
Factorials are math symbols used to represent a number multiplied by the numbers that come before it. For example, 4! (four factorial), tells you to multiply 4x3x2x1. This evaluates to 24.
What are Combinations and Permutations?
A combination describes the possible ways of selecting elements from a group, whereas a permutation describes the number of possible orders that the elements can be arranged in.
How to Evaluate c(n, n)
When evaluating c(n,n), you'll need to use factorials and the formula for combinations. The formula for c(n,n) is given by:
c(n,n) = n! / (n-n)!
For example, to calculate c(4,4), you will need to use the formula above and substitute 4 for n:
c(4,4) = 4!/ (4-4)!
c(4,4) = 4!/0!
c(4,4) = 4!
c(4,4) = 4x3x2x1
c(4,4) = 24
FAQ
What is the difference between a combination and a permutation?
A combination is the number of possible ways of selecting elements from a group, whereas a permutation is the number of possible orders that the elements can be arranged in.
What is the formula for c(n,n)?
The formula for c(n,n) is given by: c(n,n) = n! / (n-n)!