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Lesson: Applied Arithmetic - 33

Combinations And Permutations, continued

[Page 33 of 36]

Now that we've discussed permutation, let's move onto combinations. Read the following example:

Alex wishes to plant three different fruit trees in his front yard. He has five different types of fruit trees he can choose from: cherry, plum, apple, peach, and pear. How many different combinations of fruit trees are possible?

In combination questions, such as the one above, the order or arrangement of elements does not matter. You often don't need a complex formula to solve combination questions. Most standardized test combination questions are simple enough that you can list out the possibilities and count them.

However, there is a formula that you can use for more complex questions.

Go on to the next page to find out more about these two approaches.

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