Visualizations · Mathematics

Combinatorics

Counting possibilities and arrangements

  • 11 visualizations
  • about 36 min in all
High schoolabout 3 min

What is a Factorial?

Product of numbers from 1 to n

Open
High schoolabout 3 min

Factorial Expressions

Computing n!/(n-k)!

Open
High schoolabout 3 min

Simplifying Factorials

Cancellation in (n+k)!/n!

Open
High schoolabout 4 min

Factorial Equations

Find n where n! = X

Open
High schoolabout 4 min

Combinations C(n,k)

Choosing k from n without order

Open
High schoolabout 3 min

Permutations

P(n) = n! arrangements

Open
High schoolabout 4 min

Permutations with Repetition

n!/(k1! × k2!)

Open
High schoolabout 3 min

Variations without Repetition

V(n,k) = n!/(n-k)!

Open
High schoolabout 3 min

Variations with Repetition

V'(n,k) = n^k

Open
High schoolabout 3 min

Factorial Animation

All permutations visually

Open
High schoolabout 3 min

Pascal's Triangle

Structure of binomial coefficients

Open