For items 10 -17, consider the following: Chaka Furniture Shop located in Cavite makes two kinds of products, cabinets and dressers, which pass through the assembly and the finishing departments. The Assembly department has 60 hours of work available each week, while the finishing department has 48 hours each week. Making one cabinet needs 4 hours in Finishing and 2 hours in Assembly, while it takes 4 hours to assemble a dresser and 2 hours to finish it. If the profit generated per cabinet is Php80 and per dresser is Php100.(Hint: Let z be the number of cabinet produced and y be the number of dresser produced).
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.
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