Final answer:
To find the number of different outcomes for the decisions of 20 shoppers each choosing whether to enter or not to enter a store, calculate 2 to the 20th power, which is 1,048,576 possible outcomes.
Step-by-step explanation:
The question involves determining how many different outcomes are possible when 20 shoppers each make an independent decision whether to enter or not to enter the Dressfastic clothing store. This is a classic problem in combinatorics, a branch of mathematics. If each shopper has two choices (to enter or not to enter), then the number of possible outcomes is 220, since each shopper's decision is independent of the others.
To calculate this, you would simply take the number of options per shopper (which is 2) and raise it to the power of the number of shoppers (which is 20).
The calculation is as follows:
Number of outcomes = 220
Therefore, the number of different outcomes for the decisions of the 20 shoppers is 1,048,576.