A committee is to consist of a chair, two hagglers, and six do-nothings. The committee is formed by choosing randomly from a pool of 11 people and assigning them to the various "jobs." (a) How many different committees are possible? HINT [See Example 5.]  committees (b) Norman is eager to be the chair of the committee. What is the probability that he will get his wish? (Round your answer to two decimal places.)

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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.