Wednesday, April 15, 2020

Winter Wonderland Puzzle Day 7

Didn't get a whole lot done on the puzzle today but did add more to the trees and started filling in the big hole between the house and the border. I'm already at a point where a lot of the pieces look like each other and it is harder to find where they go. The ones that are all a solid colour are always the hardest and usually I do those last.


Yesterday's Riddle:



There are more inhabitants of New York City than there are hairs on the head of any one resident. Given that no one is totally bald, are there at least two residents with the exact same number of hairs on their head? 

Answer: Yes. And that's a definite yes which can be proven. Let's simplify it to show this is so. Suppose New York City has only ten residents. Now since there are more residents than hairs on the head of any one resident, each resident can only have nine hairs on their head at most. Since none of the residents is bald, each must have at least one hair on their head. So of the ten residents, nine of them can have different numbers of hairs ranging from one to nine. But the tenth resident must have at least one hair but no more than nine, so he will have the same number of hairs as one of the other residents. It makes no difference how many residents there are. As long as the conditions hold, the answer must be yes.

Today's Riddle: 

Which is correct - the yolk is white or the yolk are white? 

Answer tomorrow.

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