You have some marbles each of one colour of red, orange, yellow, green, blue, and violet.
There is at least one but not more than six of each colour. No two colours have the same number of marbles. There are more yellow than red, fewer blue than violet, more orange than red, fewer blue than yellow, and more green than yellow.
If there are four orange marbles and two violet marbles, how many marbles are there of each colour?
Submit your answer to Gene Wirchenko <email@example.com>. Your answer should be in the form of a proof. That means to show how your answer must be correct. The deadline is Wednesday, September 28, 2016 at noon Pacific Time. I will post the answer shortly after.
It has been unseasonably cool here in Kamloops for the last ten or so days.
I follow the forecast temperature graphs on Weather Underground. Because these show a normalised range for the graph, the graph range might be lower or higher than just previous. It is important to pay attention to the scaling.
The graphs look about the same shape each day as they did during high summer: start low, go to maximum during the day, then drop. However, the temperatures are about ten degrees Celsius lower.
Just looking at the graphs is misleading. Labelling counts. A picture may well tell a thousand words, but sometimes, pictures leave out critical words.
A recent post in the USENET newsgroup rec.arts.sf.written where we discuss speculative fiction (science fiction and fantasy) included this sentence: “Posing as a vapid social butterfly, princess Telaine North Hunter persues [sic] a plot against the throne to a remote mountain village where she finds strange doings at the local border fort, though *how* strange only becomes clear after winter has cut off communications with the capital.”
The issue: How is she pursuing the plot? Is the plot something she is doing or that she is trying to stop? Not knowing the series, I do not know. Presumably, she is trying to stop the plot, but royalty have intrigued against each other before.
The book is Agent of the Crown (The Crown of Tremontane Book 3) by Melissa McShane.
There are some trees in a nearby backyard. Six of them have green leaves, three have red, and four have yellow. There is exactly one tree of each of the three colours only. The rest are a mix of two or three colours.
How many trees are there?
Submit your answer to Gene Wirchenko <firstname.lastname@example.org>. Your answer should be in the form of a proof. That means to show how your answer must be correct. The deadline is Wednesday, September 21, 2016 at noon Pacific Time. I will post the answer shortly after.