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let's start with 12,

12:22 is the only one (1)

1:11 (2)

2:22 (3)

3:33 (4)

4:44 (5)

5:55 (6)

6 wont work becasue if we canot have 6:6_ anything

7 wont work

neither will 8,9, but

10:00 does (7)

11:10 (8)

11:11 (9)

11:12 (10)

11:13 (11)

11:14 (12)

11:15 (13)

11:16 (14)

11:17 (15)

11:18 (16)

11:19 (17)

Then it gets complicated as we move into the 24 hour zone?

13:33 (18)

14:44 (19)

15:55 (20)

then we go to 20:00 hours which is (21)

22:20 (22)

22:22 (23)

23:33 (24)

and not forgetting 00:00, 00:01, 00:02, 00:03...00:09

Giving us a total of 34

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Q: How many times will a digital clock display the same 3 numbers in a row in 24 hours?
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