In base $b$, there are exactly one hundred three-digit numbers whose digits are all distinct. (That's "one hundred" in the ordinary sense, $100_{10}$.)

What is $b$?
Question:
In base $b$, there are exactly one hundred three-digit numbers whose digits are all distinct. (That's "one hundred" in the ordinary sense, $100_{10}$.)

What is $b$?
Answer:
Let's think step by step.

user
6
In base $b$, there are exactly one hundred three-digit numbers whose digits are all distinct. (That's "one hundred" in the ordinary sense, $100_{10}$.)

What is $b$?
train