A farmer is planting a row consisting of 3 unique apple trees and 3 unique orange trees. How many ways are there for the farmer to plant the trees such that no apple tree is adjacent to another apple tree and no orange tree is adjacent to another orange tree? Pick:
A) 72  B) 576  C) 1,024  D) 1,152  E) 10,080
2 possible arrangements are possible   72O72O72O72O   O72O72O72O72   2 unique type of trees are present consisting of 4 trees each   4 apple trees can be arranged in 4! ways   4 orange trees can be arranged in 4! ways   as 2 arrangements are possible   total arrangements = 2 *3! * 3! = 72   correct answer option 72
<result>A</result>
A farmer is planting a row consisting of 3 unique apple trees and 3 unique orange trees. How many ways are there for the farmer to plant the trees such that no apple tree is adjacent to another apple tree and no orange tree is adjacent to another orange tree?