Four knights, 2 white, and 2 black are sitting on a 3x3 chessboard. The knights were really bored, since they spent all of their time sitting on the chessboard doing nothing, so they decided to try switching places so that the white knights would end up where the black knights started our and the black knights would end up where the white knights started out. To do this, the knights had to follow the following rules:

-No two chess pieces can occupy the same square at the same time -Knights can jump or pass over each other on the way to an empty square -The knights can only move 2 squares up (or down, or left, or right) and 1 square to the left (or right, or up, or down.) The moving combinations must be 2 up or down and 1 to the left or right. Or, 2 to the left or right and 1 up or down. Example: They can't move 2 to the left and 1 to the left. They must always move in an "L" shape. -No two pieces can switch spots at the same time

-The knights can only move one at a time
-They must stay within the 9 squares of their 3x3 chessboard

Process

To solve this POW I read over exactly what it was asking and what the rules to solving it were. The easiest method to solve it was by using "Draw-A-Picture." I started out with drawing a 3x3 square and marking the positions on the board where the 2 white and 2 black knights were. To keep track of which knight was which, I named the uppermost left black knight Henry, or "H", the uppermost right black knight Julio, or "J", the bottom left white knight Timmy, or "T", and the bottom right white knight Nacho, or "N." TO start out, I drew a 3x3 square and drew the initials of the place where each knight was supposed to be. When I moved one knight, I drew an arrow to the spot where I wanted the knight to go, and then showed the moved knight in the 3x3 square, along with another arrow showing a different knight moving. To keep track of the various moves that the knights took, for every new move the...

...P.O.W. #2
The BigKnightSwitch
Problem Statement
One day 2 white chess knights and 2 black chess knights were on a chess board, which is 3x3 squares. The knights decided to try to switch places, like the white knights would end up where the black knights started out and the black knights would end up where the white knights started out....

...Some Golden Retrievers are gold
These dogs are gold
3. This POW has to do with mathematics because it is all about logic. In math without logic you would less successful then if you do have logic. If something does not seem right to you or is confusing you are using logic to realize that something is wrong and will use it to solve it. Without logic you wouldn’t know when something is right or wrong.
4. This POW was fairly simple. But some of the...

...The BigSwitch
Sharandon Primm, Alan Harville, Jonathan Leverette, Kimberli Fletcher, and Dulce Cadogan
Business 220
May 16, 2013
Gary LaRoy
The BigSwitch
The president of our company has brought to our attention that he would appreciate it if our department could create a new information system for our company. The current information system that we use is Microsoft Excel and we need to create a way to transfer and implement...

...It was the duty of a Middle Ages Knight to learn how to fight and to serve their liege Lord according to the Code of Chivalry. The Code of Chivalry dictated that a Knight should be brave and fearless in battle but would also exhibit cultured Knightly qualities showing themselves to be devout, loyal, courteous and generous. (Bouchard 2) Weapon practice included enhancing skills in the two-handed sword, battle-axe, mace, dagger and lance. A Knight would...

...question the school’s electricity bill.
• Students admit that they do not take much action to conserve electricity and often waste electricity at home.
• Students usually do not bother to turn off:
o Switches along the school block corridor
o Light switch in toilets
o Air-conditioners and light switches in the classrooms and laboratories at the end of class.
• The latest SPN 21 Secondary Science syllabus does not contain the topic ‘The Importance of Saving Electricity’....

...1000 miles away. Sounds easy right? Wait there’s a catch. For every mile she walks she has to eat one banana. See now it got hard. So with all of this said how many bananas will he be able to take to the market and sell?
Process Doing the mini POW helped a lot with this one. Because knowing that Corey Camel can drop bananas on the way to the market is an important part, because of he couldn’t the answer would be an obvious zero. Since you can drop them I decided to drop 800...

...can’t fight the water-minus by ourselves! Please come
ASAP and don’t forget to carry an extra charge of water-plus!”
Of course, evaluation and planning are both constructed “now,” which means that they are
instantly being relegated to the past. The big difference between the two, however, is that
evaluation tries to understand the past while planning tries to imagine the future. Both endeavors
are part and parcel of everyday life, of course, but planning and evaluation are...

...Problem Statement
There are twelve items numbered 1 through 12. All of the values or "weights" are the same except one item whose value is either greater than or less that the other 11 by an unknown amount.
One can compare the sum of the values of a number of items in a set with the sum of the values of items in a disjoint set to see which one is greater. This comparison is also called "weighing."
Find the least number of ways...

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