Mrs. Ruiz has 15 boys and 14 girls in her class. There are 165620 ways to choose a committee to organize a class party if there are 3 boys and 3 girls. (b) So Lourdes, a girl, and Andy, a boy always fights. How many ways can Mrs.Ruiz select a committee of part a if she does not want both Lourdes and Andy on the committee? Note that Lourdes can be on the committee, and Andy not on the committee, or vice versa
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.
Mrs. Ruiz has 15 boys and 14 girls in her class. There are 165620 ways to choose a committee to organize a class party if there are 3 boys and 3 girls.
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