Problem 1134

Suppose Kendra Gallegos has appointments with 12 potential customer. Kendra will be ecstatic if all 12 of these potential customers decide to make a purchase from her. Of course, in sales there are no guarantees. How many different sets of customers may place an order with Kendra?




A set of n distinct element has 2n subsets.

This set has 12 distinct elements.

The set containing 12 elements has 212 subsets.

212 = 4096

Therefore, the set has 4096 sunsets.



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