HMMT 1998 V9
- Advanced Topics
- Answer
Bob's Rice ID number has six digits, each a number from 1 to 9 , and any digit can be used any number of times. The ID number satisfies the following property: the first two digits is a number divisible by 2 , the first three digits is a number divisible by 3 , etc. so that the ID number itself is divisible by 6 . One ID number that satisfies this condition is 123252 . How many different possibilities are there for Bob's ID number?
Dataset text NuminaMath olympiads. Quoted with source.
Show the answer
324
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
Similar problems
These problems have the most words in common with this statement.