Of the members of three athletic teams at a certain school, 21 are on the basketball team, 26 on the baseball team, and 29 on the football team. Fourteen play baseball and basketball, 15 play baseball and football, and 12 play football and basketball. Eight are on all three teams. How many team members are there altogether?
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.
Of the members of three athletic teams at a certain school, 21 are on the basketball team, 26 on the baseball team, and 29 on the football team. Fourteen play baseball and basketball, 15 play baseball and football, and 12 play football and basketball. Eight are on all three teams. How many team members are there altogether?
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