Monday 2 January 2017

Christmas Countdown Problem



The above shows a Christmas countdown that we have on a window in our kitchen at home from the 1st of December. It's designed to be used like an Advent calendar and only in December (hence having 2 lots of 2 for '22 days to go' and 2 lots of 1 for '11 days to go', but not 2 lots of the other numbers). Today, I noticed that someone has begun a countdown towards Christmas 2017 (don't worry, it's coming down shortly). However, if we were to continue, how many days could not be shown with the numbers available and what 'days to go' are they? For example '222 days to go' can't be shown as there are only 2 lots of 2, but 357 and 356 can both be shown.

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