## Increasing Digits

#### Problem

Working from left to right in a number, if the next digit is greater in value than the preceeding digit, we say that the digits are strictly increasing: 15689, 35679, and 13478 are examples of 5-digit numbers with this property.

Given a number has strictly increasing digits, what is the probability that it contains 5-digits?

Problem ID: 180 (Oct 2004) Difficulty: 3 Star