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Answer :
We start by finding the total number of combinations when all items are available. There are:
- [tex]$5$[/tex] types of pastry,
- [tex]$4$[/tex] types of beverage,
- [tex]$2$[/tex] types of paper.
Thus, the original number of possible combinations is
[tex]$$
5 \times 4 \times 2 = 40.
$$[/tex]
Since the muffins are not available, the number of pastry options decreases by one, leaving us with
[tex]$$
5 - 1 = 4 \text{ pastries}.
$$[/tex]
With [tex]$4$[/tex] pastries, [tex]$4$[/tex] beverages, and [tex]$2$[/tex] papers, the new number of combinations is
[tex]$$
4 \times 4 \times 2 = 32.
$$[/tex]
The decrease in the number of combinations is the difference between the original and the new total:
[tex]$$
40 - 32 = 8.
$$[/tex]
So, the number of possible combinations decreased by [tex]$\boxed{8}$[/tex].
- [tex]$5$[/tex] types of pastry,
- [tex]$4$[/tex] types of beverage,
- [tex]$2$[/tex] types of paper.
Thus, the original number of possible combinations is
[tex]$$
5 \times 4 \times 2 = 40.
$$[/tex]
Since the muffins are not available, the number of pastry options decreases by one, leaving us with
[tex]$$
5 - 1 = 4 \text{ pastries}.
$$[/tex]
With [tex]$4$[/tex] pastries, [tex]$4$[/tex] beverages, and [tex]$2$[/tex] papers, the new number of combinations is
[tex]$$
4 \times 4 \times 2 = 32.
$$[/tex]
The decrease in the number of combinations is the difference between the original and the new total:
[tex]$$
40 - 32 = 8.
$$[/tex]
So, the number of possible combinations decreased by [tex]$\boxed{8}$[/tex].
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Rewritten by : Jeany
