Estimate the number of personally constructed greeting
cards possible at a machine if there are 12 designs, 30
messages, 18 closings, and 10 different paper stocks on
(1 + 1)n,
which to print the card. Indicate how you made your
estimate. How valid was your estimate
To estimate the number of personally constructed greeting cards possible at the machine, we need to multiply the number of options for each component.
In this case, we have:
- 12 designs
- 30 messages
- 18 closings
- 10 different paper stocks
To calculate the total number of possible combinations, we multiply these numbers together:
12 designs * 30 messages * 18 closings * 10 paper stocks = total number of possible combinations
Let's calculate the exact number:
12 * 30 * 18 * 10 = 64,800 possible combinations
Therefore, there are approximately 64,800 personally constructed greeting cards possible at the machine.
As for the validity of our estimate, it depends on the assumptions made. If we assume that each card can only have one design, one message, one closing, and one paper stock, then our estimate is valid. However, if we allow for multiple designs, messages, closings, or paper stocks on a single card, then our estimate might not be accurate.
Additionally, factors like customer preferences, machine limitations, available resources, or design restrictions might influence the actual number of possible combinations.