Combinatorics

Factorial Animation

All permutations visually

  • High school
  • about 3 min
  • 10 of 11 in the family
Not started

All 6 arrangements:

ABC
ACB
BAC
BCA
CAB
CBA

Number of items

n3

Calculation

3!=3⋅2⋅1=63! = 3 \cdot 2 \cdot 1 = 6

Intuition

For the first position you have 3 choices. For the second only 2. And so on. Multiply: 3 × 2 × 1 = 6.

Where it is taught