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counting and probability intermediate

Problem

A nursery employee wishes to plant 2 identical Golden Delicious apple trees and 5 identical Bartlett pear trees in one row. How many distinct arrangements are possible?
Solution
We have 7 places to plant trees in our row. We can choose two of these to be Golden Delicious in ways. For each of these choices, we plant the Bartlett pears in the remaining 5 places.
Final answer
21