8.2: More Paper Slicing 1. Clare takes a piece of paper with length 8 inches and width 10 inches and cuts it in half. Then she cuts it in half again, and again... a. Instead of writing a recursive definition, Clare writes C(n) = 80 · (÷)", where C is the area, in square inches, of the paper after n cuts. Explain where the different terms in her expression came from. I KNOW THAT YOU CAN'T TYPE IN THE BLANKS, I AM SHOWING YOU WHAT YOUR ANSWER SHOULD LOOK LIKE. B.2: 1.a. C(n) is the ;n is the 80 is the L; ½ is the
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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