involving the outfitting of a camping trip. Assume that the camper has 5 jackets, 5 sleeping bags, and 10 different packages of food. An outfit consists of 1 jacket, 2 sleeping bags, and 4 packets of food. How many ways can the trip be outfitted?
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.
Rework problem 12 from section 2.3 of your text, involving the outfitting of a camping trip. Assume that the camper has 5 jackets, 5 sleeping bags, and 10 different packages of food. An outfit consists of 1 jacket, 2 sleeping bags, and 4 packets of food.
How many ways can the trip be outfitted?
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