Basketball Teams On a basketball team of 12 players,2 play only center, 3 play only guard, and the rest play forward(5 players on a team: 2 forwards, 2 guards, and 1 center).How many different teams are possible, assuming that it isnot possible to distinguish a left guard from a right guard ora left forward from a right forward?
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 On a basketball team of 12 players,
2 play only center, 3 play only guard, and the rest play forward
(5 players on a team: 2 forwards, 2 guards, and 1 center).
How many different teams are possible, assuming that it is
not possible to distinguish a left guard from a right guard or
a left forward from a right forward?
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