Question 3
A four-digit number is said to be nice if it satisfies the following conditions:
- all the digits are distinct,
- the number is divisible by 6,
- the digits are in descending order from left to right,
- the number is greater than 9000 but less than 10000.
How many nice numbers are there?
- all the digits are distinct,
- the number is divisible by 6,
- the digits are in descending order from left to right,
- the number is greater than 9000 but less than 10000.
How many nice numbers are there?