How many numbers of three digits distinct and different from zero there, such that the digit of tens is bigger than the other?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
We can choose the 3 distinct digits out of the 9 digits allowed (1, 2, ..., 8, 9):
( 3 9 ) = 8 4 ways.
Since we have to put the largest digit in the middle and we can arrange the remaining 2 digits in 2! = 2 ways, therefore our answer should be:
8 4 × 2 = 1 6 8