World Series In the World Series the American League team1A2 and the National League team 1N2 play until one teamwins four games. If the sequence of winners is designated byletters (for example, NAAAA means that the National Leagueteam won the first game and the American League won thenext four), how many different sequences are possible?
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.
World Series In the World Series the American League team
1A2 and the National League team 1N2 play until one team
wins four games. If the sequence of winners is designated by
letters (for example, NAAAA means that the National League
team won the first game and the American League won the
next four), how many different sequences are possible?
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