Consider the three situations below. Which ones appear to represent rational decision making? Explain.
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.
4. Consider the three situations below.
Which ones appear to represent rational decision making? Explain.
a. Glenn's best friend has decided to become a civil engineer, so Ahmed has decided that he, too, will become a civil engineer.
b. Nadia needs to get to the university from her home. She bought a car and now drives to the university each day. When Mona asked her why she didn't buy a bicycle instead, she replies, "Mona, I never thought of that."
c. Pedro needed a wrench to replace the sparkplugs in his car. He went to the local automobile supply store and bought the cheapest one they had. It broke before finished replacing all the sparkplugs in his car
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