46. -4a – 50 = 14 48 6c + 6d = -24 9a + 3b = -48 playing doubles, and 49. TENNIS At a park, there are 38 people playing tennis. Some are some are playing singles. There are 13 matches in progress. A doubles match 4 players, and a singles match requires 2 players. a. Write a system of two equations that represents the number of singles and doubles requires matches going on. b. How many matches of each kind are in progress?

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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.