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Answer :
To find out how the absence of muffins affected the number of possible combinations of the "commuter special," let's break down the options:
1. Determine the Original Options:
- Pastries: Donut, Brownie, Muffin, Scone, Croissant (Total: 5 options)
- Beverages: Coffee, Milk, Tea, Orange Juice (Total: 4 options)
- Papers: The Times, The Herald (Total: 2 options)
To find the total number of combinations available when all pastries (including muffins) are available, we would multiply the number of options in each category:
[tex]\[
\text{Total combinations with muffins} = 5 \times 4 \times 2 = 40
\][/tex]
2. Calculate Options Without Muffins:
- If the muffins are not available, the number of pastry options reduces to 4 (Donut, Brownie, Scone, Croissant).
Now, calculate the total number of combinations without the muffins:
[tex]\[
\text{Total combinations without muffins} = 4 \times 4 \times 2 = 32
\][/tex]
3. Determine the Decrease in Combinations:
- Subtract the total combinations without muffins from the total combinations with muffins to determine how many combinations were lost:
[tex]\[
\text{Decrease in combinations} = 40 - 32 = 8
\][/tex]
Thus, when the muffins were unavailable, the number of possible combinations decreased by 8.
1. Determine the Original Options:
- Pastries: Donut, Brownie, Muffin, Scone, Croissant (Total: 5 options)
- Beverages: Coffee, Milk, Tea, Orange Juice (Total: 4 options)
- Papers: The Times, The Herald (Total: 2 options)
To find the total number of combinations available when all pastries (including muffins) are available, we would multiply the number of options in each category:
[tex]\[
\text{Total combinations with muffins} = 5 \times 4 \times 2 = 40
\][/tex]
2. Calculate Options Without Muffins:
- If the muffins are not available, the number of pastry options reduces to 4 (Donut, Brownie, Scone, Croissant).
Now, calculate the total number of combinations without the muffins:
[tex]\[
\text{Total combinations without muffins} = 4 \times 4 \times 2 = 32
\][/tex]
3. Determine the Decrease in Combinations:
- Subtract the total combinations without muffins from the total combinations with muffins to determine how many combinations were lost:
[tex]\[
\text{Decrease in combinations} = 40 - 32 = 8
\][/tex]
Thus, when the muffins were unavailable, the number of possible combinations decreased by 8.
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Rewritten by : Jeany
