QUESTION 6 The United States Senate is the upper chamber of the United States Congress, part of the legislature of the United States. The 116th Senate consists of 100 members, 53 of which are designated Republican, 45 Democrats and 2 Independents. A committee is formed with three leaders, one from each party, as well as 10 other members, 5 Republicans, 4 Democrats and 1 Independent. In how many ways can this committee be formed? The number of ways the committee can be formed is (N] million
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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