A music school wants to expand its class schedule. To better understand the current schedule, the director looked at which instruments are taught or not taught on various days of the week. The Venn Diagram shows this information for two days of the week. a. How many instruments are not taught on Monday? b. How many instruments are taught on Monday or Wednesday (or both)? c. Which instruments are taught on neither Monday nor Wednesday?
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.
A music school wants to expand its class schedule. To better understand the current schedule, the director looked at which instruments are taught or not taught on various days of the week.
The Venn Diagram shows this information for two days of the week.
a. How many instruments are not taught on Monday?
b. How many instruments are taught on Monday or Wednesday (or both)?
c. Which instruments are taught on neither Monday nor Wednesday?
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