In a group of 50 patrons 12 like lattes 11 espressos and 6 both coffee drinks. How many either the drinks?

1. Understand the Concept

We need to find the number of patrons who like *at least one* of the two coffee drinks. This means we need to avoid double-counting people who like both.

2. Use the Inclusion-Exclusion Principle

* Total who like lattes or espressos: 12 + 11 = 23

* Subtract those counted twice (who like both): 23 - 6 = 17

Answer: 17 patrons like either lattes or espressos.