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Math Help - Tree-Planting Problem

  1. #1
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    Exclamation Tree-Planting Problem

    There are 18 plants to be planted in 9 rows with 5 plants in each row. Can anyone please give a diagram?
    Last edited by mr fantastic; June 23rd 2009 at 01:41 AM. Reason: No edit - just flagging this question as having been moved to this subforum by me.
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  2. #2
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    Quote Originally Posted by gaurav517 View Post
    There are 18 plants to be planted in 9 rows with 5 plants in each row. Can anyone please give a diagram?

    It should be obvious that some plants MUST appear in more than 1 row simultaneously.

    If you placed one plant in the center with 9 radiating lines and a plant at the end of each line, you would have a total of ten plants with 9 lines. 8 plants remaining. Since the 8 cannot be divided by the 9 lines, it means that some plants must also appear in three different lines at the same time.
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  3. #3
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    Quote Originally Posted by gaurav517 View Post
    There are 18 plants to be planted in 9 rows with 5 plants in each row. Can anyone please give a diagram?
    No one said the plants must be of uniform size.

    Make 9 rows, put 2 plants per row, then fatten up plants to invade other rows.
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