Happy New Year 2016.
Using the digits 2, 0, 1, and 6 exactly once and in that order, come up with expressions that evaluate to the integers from 0 to 10. You may use addition, subtraction, multiplication, division, unary negative (as in –3), factorial (0! = 1; for n > 0, n! equals the product of the integers from 1 to n. e.g. 3! = 1 × 2 × 3 = 6), and brackets.
For example, 12 = 2 × (0 + 1) × 6 and 120 = (–2 + 0 + 1 + 6)!.
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, January 27, 2016 at noon Pacific Time. I will post the answer shortly after.
I just did it again. I have seen other people do this as well.
I am referring to replying to an E-mail without considering details in the subject line.
A co-worker sent me an E-mail asking to be picked up for an inventory count in Salmon Arm. Considering the body of the E-mail, I replied that it depended on which Salmon Arm count he was referring to, the 5th or the 20th. So far, so good.
The subject of the E-mail was “Can you pick me up at my home on Jan.5,2016.”
Oops! I realised this as soon as I sent my reply.
Since this is all too easy to do, may I suggest that people sending E-mail not put details in the subject that are not in the body of the E-mail?
https://en.wikipedia.org/wiki/Disfranchisement_after_Reconstruction_era has the sentence, “By 1947 they and others had succeeded in getting 125,000 black Americans registered, 18.8% of those of eligible age.”
The issue: Did they register 18.8% of those of eligible age, or did they register 125,000 with only 18.8% being of eligible age? Apparently, it was the former, but the latter is also a valid reading understanding the last part as a shortened form of “18.8% of those registered being of eligible age”.
You kept your marbles in a paper bag. Unfortunately, in the rain, the bag became soggy, and well, you lost your marbles. Each marble was one of six colours: red, orange, yellow, green, blue, and violet.
1) The number of blue marbles and yellow marbles together was the same as the number of green marbles and orange marbles together.
2) The number of orange marbles was one less than the number of red marbles.
3) The number of blue marbles was not prime.
4) There were more of each succeeding colour when the colour names were arranged in ascending alphabetical order.
5) The number of red marbles was greater than twenty and was also prime.
6) There were fewer than 100 marbles and at least one marble of each of the six colours.
How many marbles were 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, January 20, 2016 at noon Pacific Time. I will post the answer shortly after.