The Math of Combinations

See how quickly possibilities multiply using basic counting principles.

1. Dress-Up Combinations (Fundamental Counting Principle)

Formula: $Total = Tops \times Bottoms \times Shoes$

Total Unique Outfits: 60

2. Password Combinations (Permutations with Repetition)

Formula: $Total = Pool Size^{Length}$

6 characters
Total Available Characters (Pool): 36
Total Possible Passwords: 2,176,782,336