The Mysterious Garden

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In a garden, there are five trees in a row. Each tree is either an apple tree or an orange tree. The first tree is an apple tree. If an apple tree is immediately followed by an orange tree, then the next tree after the orange tree must be an apple tree. How many possible arrangements of the five trees are there?

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    Since the first tree is Apple (A), the second can be either Apple or Orange (O). In both scenarios, the remaining 3 trees can have 8 combinations each. Thus, total 16 combinations are possible.  However, since an A followed by an O must be followed by another A only, 8 of the possibilities get ruled out, leaving 8 possible arrangements.

    In the list below, highlighted arrangements are NOT possible.

    Viji_Pinarayi Expert Answered on 21st December 2024.
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