A certain town with a population of 100000 has 3 newspapers: I, II, and III. The proportions of townspeople who read these papers are as follows: I: 25 percent, I and II: 7 percent, I and II and III: 4 percent, II: 15 percent, I and III: 10 percent, III: 20 percent, II and III: 5 percent. a) How many people read at least one newspaper? b) How many people read two newspapers? c) How many people do not read any newspapers? d) If I and III are morning papers and II is an evening paper, how many people read only one morning paper and one evening paper?
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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A certain town with a population of 100000 has 3 newspapers: I, II, and III. The proportions of townspeople who read these papers are as follows:
I: 25 percent, I and II: 7 percent, I and II and III: 4 percent, II: 15 percent, I and III: 10 percent, III: 20 percent, II and III: 5 percent.
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a) How many people read at least one newspaper?
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b) How many people read two newspapers?
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c) How many people do not read any newspapers?
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d) If I and III are morning papers and II is an evening paper, how many people read only one morning paper and one evening paper?
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