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A​ golf-course architect has six linden​ trees, four white birch​ trees, and three bald cypress trees to plant in a row along a fairway. in how many ways can the landscaper plant the trees in a​ row, assuming that the trees are evenly​ spaced? the trees can be planted in nothing different ways.

2 Answers

6 votes

Final answer:

The landscaper can plant the trees in a row in 864 different ways.

Step-by-step explanation:

To find the number of ways the landscaper can plant the trees, we can use the concept of permutations. Since the trees are evenly spaced, the order in which they are planted matters. We have a total of 6+linden+trees, 4 white birch trees, and 3 bald cypress trees. To calculate the number of ways to arrange them in a row, we can multiply the number of available options at each position. So, the number of ways to plant the trees in a row is 6! * 4! * 3! = 864. Therefore, there are 864 different ways the landscaper can plant the trees in a row.

User OneRaynyDay
by
5.7k points
7 votes

Answer:

the trees can be planted 4200 ways

Step-by-step explanation:

User Nidhi Dadiya
by
7.2k points
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