HP Prime: Graphs of Permutation and Combination
Definitions
Permutation:
perm(n, x) = n! ÷ (n - x)!
Combination:
comb(n, x) = n! ÷ (x! × (n - x)!)
Combination with Repeated Choices allowed:
comb(n + x - 1, x) = (n + x - 1)! ÷ (x! × (n - 1)!)
For the following graphs, I use screen shots with the HP Prime Virtual Calculator.
Discrete Graphs
Let n and x be positive integers.
Continuous Graphs
N is still a positive integer while x is a positive real number. The factorial can be represent as the Gamma function as x! = Γ(x+1).
3D-Graphs
The variables x and y take real values.
Eddie
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