Advent calendar 2019
14 December
During one day, a digital clock shows times from 00:00 to 23:59. How many times during the day do the four digits shown on the clock add up to 14?
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There are
1 time starting 00;
2 times starting 01;
3 times starting 02;
4 times starting 03;
5 times starting 04;
6 times starting 05;
6 times starting 06;
6 times starting 07;
6 times starting 08;
6 times starting 09;
2 times starting 10;
3 times starting 11;
4 times starting 12;
5 times starting 13;
6 times starting 14;
6 times starting 15;
6 times starting 16;
6 times starting 17;
6 times starting 18;
5 times starting 19;
3 times starting 20;
4 times starting 21;
5 times starting 22; and
6 times starting 23.
Therefore there are 112 ways in total.
