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Question 11
Jeff is choosing a shrub and a rose tree for his garden. At the garden centre there are 17 different types of shrubs and some rose trees. Jeff says, "There are 215 ... show full transcript
Step 1
Answer
To determine if Jeff's statement is correct, we first need to identify the number of choices he has for the rose trees. Jeff claims that there are 215 ways to choose one shrub and one rose tree.
We know that there are 17 different types of shrubs. If we denote the number of types of rose trees as ( x ), then the total number of combinations can be expressed mathematically as:
To find ( x ), we can rearrange this equation:
Since the number of rose tree types must be a whole number, we must round this value. However, rounding to either 12 or 13 does not yield an integer solution.
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