Now let's get back to our good friends in the snow cone business. We were able to model the company's profit using the equ tion P = –245 + 0.63x, where x is the number of snow cones sold. Let's say that the goal is to make a profit of at least $100 a day. 1. Write an inequality that states in symbols that the profit for this business will be at least $100. 2. Solve this inequality.

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Q: 0.3x+7.5-11=24

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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.