Question

3.4.27 A​ golf-course architect has four linden​ trees, five white birch​ trees, and two 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.

Answer 1

The objective of the problem is obtained below:

There are four linden trees, five white birch trees, and two bald cypress trees to plant in a row along a fairway which means totally 11 trees. Since order is not considered factorial with repetition values occur should be used to obtain the possible sequences.

The numbers of ways can the landscape plant the trees in a row, assuming that the trees are evenly spaced are obtained below:

From the given information, there are 11 trees out of which four linden trees, five white birch trees, and two bald cypress trees.

Thus, the number of ways cans the landscape plant the trees in a row, assuming that the trees are evenly spaced is 6,930.