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  1. You take 3 strawberry, 1 lime, 0 licorice, 2 blueberry and 0 bubblegum.

  2. This is backwards. We don't want the stars to represent the kids because the kids are not identical, but the stars are. Instead we should use 5 stars (for the lollipops) and use 5 bars to switch between the 6 kids. For example,

    \begin{equation*} **||***||| \end{equation*}

    would represent the outcome with the first kid getting 2 lollipops, the third kid getting 3, and the rest of the kids getting none.

  3. This is the word AAAEOO.

  4. This doesn't represent a solution. Each star should represent one of the 6 units that add up to 6, and the bars should switch between the different variables. We have one too many bars. An example of a correct diagram would be

    \begin{equation*} *|**||***\text{,} \end{equation*}

    representing that \(x_1 = 1\text{,}\) \(x_2 = 2\text{,}\) \(x_3 = 0\text{,}\) and \(x_4 = 3\text{.}\)

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