Use this for 11-12: A student club consists of 10 girls and 10 guys. A committee of 8 is to be selected. In how many ways can this be done if (page 168- 172) Show your work ! 11.) the committee must have at least 7 girls on it12.) three officers (president, vice president, secretary/treasurer) are selected from ALL the members.
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.
Use this for 11-12: A student club consists of 10 girls and 10 guys. A committee of 8 is to be selected. In how many ways can this be done if (page 168- 172) Show your work !
11.) the committee must have at least 7 girls on it
12.) three officers (president, vice president, secretary/treasurer) are selected from ALL the members.
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