State whether the data described below are discrete or continuous, and explain why. The numbers of murders in different cities in a certain year Choose the correct answer below. O A. The data are continuous because the data can take on any value in an interval. B. The data are discrete because the data can only take on specific values. C. The data are discrete because the data can take on any value in an interval. D. The data are continuous because the data can only take on specific values.

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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.