From 1 to 9 none
From 10 to 99 there are 9
Now I will look at numbers from 100 to 999 =
zero in the middle but not at end = 9*1*9 = 81
zero at the end but not in middle = 9*9*1 = 81
zero in middle and at end = 9*1*1=9 numbers that is 18 zeros
Total for 2 digit numbers = 9+81+81+18 = 189
Now look at numbers 1000 to 1999
2 zeros = 1*9*3C2 = 9*3 = 27numbers = 54 zeros
3 zeros = 1number = 3 zeros
1 zero = 1*9*9 = 81 zeros Edit: I forgot to times this by 3 243
2000 has 3 zeros
Total for 3 digit numbers is 54+3+243+3 = 303
Grand total appears to be 189+303 = 492 (I did not include 2001)
Thanks Guest :)
From 1 to 9 =None
From 10 to 99 = 9
From 100 to 199 =20
From 200 to 999 =160
From 1000 to 1999 =300
From 2000 to 2001(inclusive) =5
Grand Total = 9 + 20 + 160 + 300 + 5 =494 zeros
P.S. If you don't want 2001 included, then:494 - 2 =492 zeros.
The only part where our answers differ ( i think) is that
from 1000 to 1999
you got 300
I got 141
I will check what i did
3 zero numbers is just 1000 so that is 3 zeros
2 zero numbers the none zero can be in the 2nd 3rd or 4th place that is 3 permutations
so there will be 100* = 1*1*1*9 *3 = 27numbers = 54 zeros
1 zero numbers
1**0 the zero can be in 3 places so
there will be 1*9*9*1*3 = 243 numbers totalling 243 zeros
so that is 3+54+243 = 300
Just like guest said - so now we are in agreement