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## 'How Many Times?' printed from http://nrich.maths.org/

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?