SOLUTION: How many positive 3-digit integers have a units (ones) digit of 9?

Algebra ->  Permutations -> SOLUTION: How many positive 3-digit integers have a units (ones) digit of 9?      Log On


   



Question 1189187: How many positive 3-digit integers have a units (ones) digit of 9?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
.

First (left-most) digit can be any from 1 to 9.


Next (tens) digit can be any from 0 to 9.


Therefore, there are 9*10 = 90 such three-digit numbers.

Solved.

-----------

Even more simple reasoning is possible.

Consider the set of all such 3-digit numbers. 
Cut the last digit: you will get the set of all 2-digit numbers.

The cardinality of this set of 2-digit numbers is 90 - - - it gives the answer.