A company employs a total of 15 workers. The managements had asked these employees to select 4 workers who will negotiate a new contract with management. The employees have decided to select the 4 workers randomly. The order of selection is not important. a)Should we use permutation or combination? b)Use the method you selected in part a) to determine how many ways the 4 workers can be selected. c)Of the 15 workers, 9 are males and 6 are females. What is the probability that all 4 workers selected are females? (show all work and round final answer to 4 decimal places)
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.
A company employs a total of 15 workers. The managements had asked these employees to select 4 workers who will negotiate a new contract with management. The employees have decided to select the 4 workers randomly. The order of selection is not important.
a)Should we use permutation or combination?
b)Use the method you selected in part a) to determine how many ways the 4 workers can be selected.
c)Of the 15 workers, 9 are males and 6 are females. What is the probability that all 4 workers selected are females? (show all work and round final answer to 4 decimal places)
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