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There are 1,368 numbers of three digits that have the number "zero" in them.

Counting positive whole numbers, 171.

100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 120, 130, 140, 150, 160, 170, 180, 190 - is 19

200 - 19

300 - 19

400 - 19

500 - 19

600 - 19

700 - 19

800 - 19

900 - 19

Counting negative whole numbers, then there's another 171.

Counting decimal numbers of the .001 variety there is another 171, and another 171 of the -.001 variety.

But there is also another 171 of the 1.01 variety and 171 of the -1.01 variety. And finally another 171 of the 10.1 variety and the -10.1 variety.

This works out to 8 types of three digit numbers with 171 examples in each. All having at least one zero in them, none actually ending in a zero after the decimal point.

You could have several thousand more examples, if one used the square root symbol, or did all the imaginary sets (i), or did squares, cubes, etc., or did factorials (!). And if you started to really mix and match, such as (-8.01i!), well, then it would just get silly!

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Q: How many three digit numbers have a 0?
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How many three-digit area codes are possible if the first digit cannot be a 0?

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