Question

A​ golf-course architect has sixsix linden​ trees, fourfour white birch​ trees, and threethree 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?

Answer 1

Answer: There are 60060 ways to do so.

Step-by-step explanation:

Since we have given that

Number of linden trees = 6

Number of white birch trees = 4

Number of bald cypress trees = 3

Total number of trees = 6 +4 +3 =13

So, Number of ways that the landscaper plant that trees are evenly spaced is given by

$\dfrac{13\!}{6!\times 4!\times 3!}\\\\=60060$

Hence, there are 60060 ways to do so.