To join a certain club, a person must be either a statistician or a mathematicianor both. Of the 25 members in this club, 19 are statisticians and 16are mathematicians. How many persons in the club are both a statistician and amathematician?
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.
To join a certain club, a person must be either a statistician or a mathematician
or both. Of the 25 members in this club, 19 are statisticians and 16
are mathematicians. How many persons in the club are both a statistician and a
mathematician?
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