A college radio station surveyed 161 incoming freshmen to gather information about the genres of music that they like. The table below gives the results for two of the genres. Number of freshmen Like jazz 84 Like rap 67 Like both jazz and rap 39 Construct a Venn diagram illustrating these results. Then answer the questions. How many freshmen like jazz but not rap? All freshmen in the survey | freshmen How many freshmen like jazz or rap (or both)? Like jazz Like rap freshmen Submit Assi Terms of Use I Privacy IA Dichts Pecened
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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