Strictly increasing three-digit numbers

How many 3-digit numbers have digits that are strictly increasing from left to right (for example 137, but not 122 or 321)?

Show hints (2)+
  1. A strictly increasing order is unique, so counting the numbers = counting which 3 digits appear.
  2. 0 can never appear (it would have to lead); choose 3 from {1,,9}\{1,\dots,9\}: (93)\binom{9}{3}.

Answer

Reveal answer →

84

Want the full step-by-step worked solution? It's part of Premium - along with a worked solution for every question in the bank.

Asked at: Data-Driven Research, Options Market-Making

Related questions