Increasing - decreasing

Probability Level 3

A 5-digit number abcde \overline{abcde} is called decreasing if a>b>c>d>e a > b > c > d > e . A 5-digit number abcde \overline{abcde} is called increasing if a<b<c<d<e 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=01212=012 is a 2-digit number, not a 3-digit number.

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