You have decided to throw a party next weekend for 19 friends. The friends are going to bring health food, so all you have to have available are the drinks. You estimate that, on average, each person will drink four bottles of soft drinks. Three of your friends will drink only natural soda without unneeded color - so Sulo Ginger Ale should work well for them. For the others and yourself, you decide to buy Sulo Cola. Before going online, you check the refrigerator - you already have six bottles of Sulo Ginger Ale and 14 of Sulo Cola. Since this is the end of the semester - you decide that you don't really want any of the soft drinks on hand after the party. Now, you are ordering on the Internet. A. How many bottles of Sulo Ginger Ale do you plan to buy? B. How many bottles of Sulo Cola do you plan to buy?
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.
You have decided to throw a party next weekend for 19 friends. The friends are going to bring health food, so all you have to have available are the drinks. You estimate that, on average, each person will drink four bottles of soft drinks. Three of your friends will drink only natural soda without unneeded color - so Sulo Ginger Ale should work well for them. For the others and yourself, you decide to buy Sulo Cola. Before going online, you check the refrigerator - you already have six bottles of Sulo Ginger Ale and 14 of Sulo Cola. Since this is the end of the semester - you decide that you don't really want any of the soft drinks on hand after the party. Now, you are ordering on the Internet.
A. | How many bottles of Sulo Ginger Ale do you plan to buy? |
B. | How many bottles of Sulo Cola do you plan to buy? |
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