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QB0rY,fX..........r............. : Problem Solving
Chapter Two: Systematic Lists
Loose Change
Leslie has 25 cents in her pocket, but does not have a quarter. If you can tell her all possible combinations of coins she could have that sum to 25 cents, she will give you the 25 cents.
The Modern Basketball Association
A new basketball league was formed in which each team will play three games against each other team. There are seven teams: the Antelopes, the Bears, the Cubs, the Dusters, the Eagles, the Foxes, and the Goats. How many games will be played in all? This time solve it by using a systematic list.
Pennys Dimes
Penny has 25 dimes. She likes to put them in three piles with an odd number of dimes in each pile. In how many ways could she do this?
Frisbin
On a famous episode of Star Trek, Captain Kirk and the gang played a card game called Phisbin. This problem concerns a game called Frisbin. The object of the game is to throw three Frisbees at three bins that are set up on the ground about twenty feet away. If the Frisbee lands in the largest bin, 1 point is scored. If the Frisbee lands in the medium sized bin, 5 points are scored. If the Frisbee lands in the smallest bin, 10 points are scored. Kirk McCoy is playing the game. If all three of his Frisbees land in bins, how many different total scores can he make?
Area and Perimeter
A rectangle has an area of 120 square centimeters. Its length and width are whole numbers. What are the possibilities for the length and width? Which possibility gives the smallest perimeter?
Which Books Should You Read?
For an English assignment, you are to choose three of the following books to read: To Kill a Mockingbird, All Quiet on the Western Front, The Stranger, Huckleberry Finn, and A Midsummer Nights Dream. How many different sets of three books can you choose?
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