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 which to print the card. Indicate how you made your estimate. How valid was your estimate

Estimate?

10*30*20*10=6000

To estimate the number of personally constructed greeting cards possible at a machine, we need to multiply the number of options for each element.

First, we have 12 designs, 30 messages, 18 closings, and 10 paper stocks.

So, the number of possible combinations can be calculated as:
12 designs x 30 messages x 18 closings x 10 paper stocks = 64,800 possible greeting cards.

I arrived at this estimate by multiplying the number of options for each element together.

However, it's important to note that this estimate assumes that each element can be freely combined with any other element. In reality, certain combinations may not make sense or be aesthetically pleasing. Additionally, there may be some design restrictions or limitations on which designs can be printed on which paper stocks. Therefore, the validity of this estimate may be limited, as it doesn't account for these constraints.