SOLUTION: How many 4- digit numbers contain at most 2 zeroes? (Caution: A 4- digit number does not start with zero) I could really use help on this one. I got this on a test and I want to

Algebra ->  Permutations -> SOLUTION: How many 4- digit numbers contain at most 2 zeroes? (Caution: A 4- digit number does not start with zero) I could really use help on this one. I got this on a test and I want to      Log On


   

Question 828761: How many 4- digit numbers contain at most 2 zeroes? (Caution: A 4- digit number does not start with zero)
I could really use help on this one. I got this on a test and I want to see if the lecturer used the right term in the question. I don't know if she meant exactly two zeros or at most two zeroes because her English is not perfect. Please help. My mail is koppovalexandra@yahoo.ie
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
%22%22=%22%22%28matrix%285%2C1%2CThe%2C+number%2C+of%2C+4-digit%2C+numbers%29%29%22%22-%22%22%28matrix%288%2C1%2CThe%2C+number%2C+of%2C+4-digit%2C+numbers%2C+with%2C+3%2C+zeroes%29%29

There are 9999 integers up through 9999, but the first 999 have
less that four digits, so the number of 4 digit numbers is
9999-999 = 9000. Only 9 4-digit integers have more than 2 zeros,
these: 1000, 2000, 3000, 4000, 5000, 6000, 7000, 8000, 9000.

Answer: 9000-9 = 8991

Edwin