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Answer :
To solve the problem of determining how the absence of muffins affected the number of possible combinations for the "commuter special" at the deli, follow these steps:
1. List all Options:
- Pastries: Donut, Brownie, Muffin, Scone, Croissant
- Beverages: Coffee, Milk, Tea, Orange Juice
- Papers: The Times, The Herald
2. Calculate Total Combinations Initially:
- Each customer chooses one item from each category.
- Initially, there are 5 pastries, 4 beverages, and 2 papers.
- Total combinations before removing muffins = 5 pastries × 4 beverages × 2 papers = 40 combinations.
3. Remove Muffins from Options:
- Due to the absence of muffins, the number of available pastries is reduced by one.
- Now, there are 4 pastries instead of 5.
4. Calculate New Total Combinations:
- With one less pastry, there are 4 pastries, 4 beverages, and 2 papers.
- Total combinations after removing muffins = 4 pastries × 4 beverages × 2 papers = 32 combinations.
5. Determine the Decrease in Combinations:
- The decrease in combinations is the difference between the initial and the new total:
- Decrease = Initial combinations - New combinations = 40 - 32 = 8.
Therefore, the absence of muffins decreased the number of possible combinations by 8.
1. List all Options:
- Pastries: Donut, Brownie, Muffin, Scone, Croissant
- Beverages: Coffee, Milk, Tea, Orange Juice
- Papers: The Times, The Herald
2. Calculate Total Combinations Initially:
- Each customer chooses one item from each category.
- Initially, there are 5 pastries, 4 beverages, and 2 papers.
- Total combinations before removing muffins = 5 pastries × 4 beverages × 2 papers = 40 combinations.
3. Remove Muffins from Options:
- Due to the absence of muffins, the number of available pastries is reduced by one.
- Now, there are 4 pastries instead of 5.
4. Calculate New Total Combinations:
- With one less pastry, there are 4 pastries, 4 beverages, and 2 papers.
- Total combinations after removing muffins = 4 pastries × 4 beverages × 2 papers = 32 combinations.
5. Determine the Decrease in Combinations:
- The decrease in combinations is the difference between the initial and the new total:
- Decrease = Initial combinations - New combinations = 40 - 32 = 8.
Therefore, the absence of muffins decreased the number of possible combinations by 8.
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Rewritten by : Jeany
