Lesson: Applied Arithmetic - 35t01

Combinations And Permutations, continued

[Page 35 of 36]

Now try our example as an in-format question. Choose the correct answer and click Continue.

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?

	5
	10
	15
	30
	60

The Listing Method:

ABC
ABD
ABE
ACD
ACE

ADE
BCD
BCE
BDE
CDE

Thus there are a total of 10 possible combinations.

The Formula Method:

possible combinations.

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