3) Julia is creating a bouquet of flowers for a friend. She can choose from six roses, eight daisies, four carnations, one violet, andone orchid. How many different bouquets can she make? [A3 marks]
Question
- Julia is creating a bouquet of flowers for a friend. She can choose from six roses, eight daisies, four carnations, one violet, andone orchid. How many different bouquets can she make? [A3 marks]
Solution
To solve this problem, we need to understand that Julia can choose any number of flowers from each type available. This means she can choose 0 to 6 roses, 0 to 8 daisies, 0 to 4 carnations, 0 or 1 violet, and 0 or 1 orchid.
Step 1: Calculate the number of choices for each type of flower.
- For roses, she has 7 choices (0 to 6).
- For daisies, she has 9 choices (0 to 8).
- For carnations, she has 5 choices (0 to 4).
- For the violet, she has 2 choices (0 or 1).
- For the orchid, she also has 2 choices (0 or 1).
Step 2: Multiply the number of choices together to get the total number of different bouquets she can make.
So, the total number of different bouquets Julia can make is 7 (roses) * 9 (daisies) * 5 (carnations) * 2 (violet) * 2 (orchid) = 1260 different bouquets.
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