How Many Times?

Stage: 2 Challenge Level: Challenge Level:1

On a digital $24$ hour clock, at certain times, all the digits are consecutive (in counting order). You can count forwards or backwards.

For example, 1:23 or 5:43 .

How many times like this are there between midnight and 7:00?
How many are there between 7:00 and midday?
How many are there between midday and midnight?

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Published January 2000.