El problema de Venn con 3 conjuntos que confunde a muchos

This video explains how to use Venn diagrams to solve set theory problems with three variables (in this case, students who study English, French, and German) (0:00 - 0:13). Key steps for solving: (1:03) Draw the universal set and the three intersecting sets to define the zones (1:03). Start with the central data point: Identify the intersection of the three sets (8 students who study all three languages) to facilitate further breakdown (4:14). Work from the inside out: Subtract the double intersections and the totals of the main sets to find the values ​​for the specific zones, such as those who study only two languages ​​or only one (5:53). Interpret the data point "only": Understand that "17 only study German" means that this value goes directly to the zone exclusively for German, without sharing with any other sets (3:40). Solution to the problem: Finally, by adding up all the interior zones and subtracting them from the total number of students (140), it is calculated that 27 students study other languages ​​(8:00 - 9:01).