A Unique Number is defined as a positive integer with no repeated digits. This means that and are unique numbers, but and are not.
Given the number B, write a program the calculates the number of unique numbers in base-B.
For example:
⋅ In base-2, there are only 2 unique numbers: .
⋅ In base-3, there are 10 unique numbers: .
⋅ In base-4, there are 48 unique numbers:
⋅ And in base-10, there are 8,877,690 unique numbers.
The output could be greater than flintmax, therefore please present your output as character strings.
Solve

Solution Stats

3 Solutions

3 Solvers

Last Solution submitted on Jun 04, 2026

Last 200 Solutions

Solution Comments

Show comments

Problem Recent Solvers3

William Chris Cleveland David Hill

Suggested Problems

More from this Author116

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!