Chere are 10 students on the basketball team, 11 students on the soccer team, and 14 students on the volleyball team. Only 3 students play on all three teams, but 5 students play both soccer and volleyball, 4 play both volleyball and basketball, and 7 play both soccer and basketball. What is the total number of students on the three teams? Illustrate your answer with a Venn diagram.
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.
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