Increasing - decreasing
Discrete Mathematics
Level
3
A 5-digit number \( \overline{abcde} \) is called decreasing if \( a > b > c > d > e \). A 5-digit number \( \overline{abcde} \) is called increasing if \( a < b < c < d < e \). What is the (absolute) difference in the number of increasing and decreasing 5-digit numbers?
Details and assumptions
The number \(12=012\) is a 2-digit number, not a 3-digit number.
by
Calvin Lin