SOLUTION: how many of the numbers between 1000 and 3000 begin or end with 2?

Algebra.Com
Question 919902: how many of the numbers between 1000 and 3000 begin or end with 2?
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
Case 1:  The ones that begin with 2.
They are the three digit integers 000 through 999 with a 2 in 
front.  So there are 1000 of those. 

Case 2:  The rest.
Case 1 includes all the ones that begin and end in 2.  So we
don't want to count those again.  So the ones that end with 2 
but don't begin with 2 are the three digit numbers 100 through 
199 with a 2 placed on the end.  There are 100 of those.

Answer: 1000 + 100 = 1100  

Edwin


RELATED QUESTIONS

In a certain city in the Philippines,all seven digit telephone numbers begin with 350.... (answered by Theo)
How many numbers between 1 and 1000 contain all the numbers 2 3,4,5,6 as... (answered by greenestamps)
How many four digit numbers begin with odd digit and end with even... (answered by robertb)
how many numbers between 100 and 1000 have at least one 2 in the... (answered by Edwin McCravy,richard1234)
how many numbers are there between 400 and 600 which begins or end with 5. the answer is (answered by Theo,novice)
How many bit strings of length 9 either begin with 2 bit(s) equal to 0 or end with 3... (answered by edjones)
In the word "COMPUTER", there are 40320 distinct permutations. Among these permutations,... (answered by Edwin McCravy)
5. How many numbers may be formed by using 4 out of the 5 digits 1,2,3,4,5. (c) begin... (answered by Alan3354)
"How many numbers between 1 and 1000 contain a 39?" (answered by JulietG)