Marcus kicked a soccer ball from the top of a hill. The height of the ball (in feet), as a function of time (in seconds), is modeled by the equation f(x) = -8x + 32x + 40. a. From what height was the ball kicked? 40 feet b. How long did it take for the ball to reach its maximum height? c. What was the maximum height reached by the ball? d. How long did it take for the ball to hit the ground?
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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