There are 10c first tier national rugby union teams Argentina, AUstrallia, England France,Ireland, Italy, New Zealand, Scotland, south Africa, and wales. A. How many diffrent two team pairings are possible among these 10 teams? B. How many diffrent ways are there to select a first second and third ranked team form these 10 teams? c. Suppose four teams will gather in Auckland, and other six teams will gather in Melbourne. How many ways can this be done? d. Suppose five teams will gather in Sydney, and the other five teams will gather in Wellington. How many ways can this be done?
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.
There are 10c first tier national rugby union teams Argentina, AUstrallia, England France,Ireland, Italy, New Zealand, Scotland, south Africa, and wales.
A. How many diffrent two team pairings are possible among these 10 teams?
B. How many diffrent ways are there to select a first second and third ranked team form these 10 teams?
c. Suppose four teams will gather in Auckland, and other six teams will gather in Melbourne. How many ways can this be done?
d. Suppose five teams will gather in Sydney, and the other five teams will gather in Wellington. How many ways can this be done?
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