A country with two states has 75 seats in the legislature. The population of each state (in thousands) is given by: State A B Total Population 3,184 8,475 11,659 A third state is added with 2 additional seats as shown below. State A B C Total Population 3,184 8,475 330 11,989 Does the new-states paradox occur using Hamilton's method of apportionment? Yes No
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.
|
State
|
A
|
B
|
Total
|
|---|---|---|---|
|
Population
|
3,184
|
8,475
|
11,659
|
|
State
|
A
|
B
|
C
|
Total
|
|---|---|---|---|---|
|
Population
|
3,184
|
8,475
|
330
|
11,989
|
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