Basketball Teams A basketball team has 6 players who playguard (2 of 5 starting positions). How many different teamsare possible, assuming that the remaining 3 positions arefilled and it is not possible to distinguish a left guard from aright guard?
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.
Basketball Teams A basketball team has 6 players who play
guard (2 of 5 starting positions). How many different teams
are possible, assuming that the remaining 3 positions are
filled and it is not possible to distinguish a left guard from a
right guard?
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