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 2017-12-18 

Christmas card 2017

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Comments

Comments in green were written by me. Comments in blue were not written by me.
@Jose: There is a mistake in your answer: 243 (0100000) is the number of numbers between 10,000 and 100,000 that do not contain the digits 0, 1, 2, 3, 4, 5, or 6.
Matthew
                 Reply
Thanks for the puzzle!
Is it possible that the question 9 is no correct?
I get a penguin with perfect simetrie except at answer 9 : 0100000 that breaks the simetry.
Is it correct or a mistake in my answer?
Thx
Jose
                 Reply
@C: look up something called Frobenius numbers. This problem's equivalent to finding the Frobenius number for 14 and 29.
Lewis
                 Reply
I can solve #2 with code, but is there a tidy maths way to solve it directly?
C
                 Reply
My efforts were flightless.
NHH
                 Reply
What a fun diversion! I have to admit I can't remember how to solve #2 - I finally had to write some code. (So primitive.)
Heather
                 Reply
@Matthew: Thank you for the clarification!

I don't want to spoil the answer for anyone, but my Christmassy picture looks like a well dressed bird.
Claudio
                 Reply
@Claudio: The page number at the end of the book is 116.
Matthew
                 Reply
Is that a book with 116 2 sided sheets, or is the page number at the end of the book 116?
Claudio
                 Reply
@HH: Nope, I mean questions 6, 7 and 8. The question refers to itself.
Matthew
                 Reply
For question 8, don't you mean "questions 6 and 7"?
HH
                 Reply
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