In the US Senate, there are 19 members on the Committee on Banking, Housing, and Urban Affairs. Nine of these 19 members are selected to be on the Subcommittee on Economic Policy. How many different committee structures are possible for this subcommittee?
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.
In the US Senate, there are 19 members on the Committee on Banking, Housing, and Urban Affairs. Nine of these 19 members are selected to be on the Subcommittee on Economic Policy. How many different committee structures are possible for this subcommittee?
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