X. The Mathematics Club is preparing for year end team building and outing. There are 50 members from which the members of standing committees are taken. There are 8 members of Finance Committee, 5 are members of Program committee and 10 are members of planning committees. Also 4 are also members of Finance and Program, 8 are both members of Finance and Planning and 4 are also members of Program and Planning and 1 of whom was of whom is in Finance too. How many members are on exactly 2 committees?
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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