200 people are asked about three brands of beverages coffee, tea and chocolate. 36 like coffee only, 46 like coffee but not tea, 52 like coffee, 16 like tea and chocolate, 96 like chocolate, 16 like coffee and chocolate while a total of 108 like one and only one of the beverages.

A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets.

Here, We have used a table in the attachment such that each of the cells in the grid represents one of the 8 possible combinations of coffee, tea, or chocolate.

The numbers in black are given directly by the problem statement. The numbers in blue are calculated from the numbers in black and one of the other given numbers in the problem statement. The numbers in red are calculated so the totals work out correctly.

The cells shaded blue-gray are "one and only one" of the drinks. The cell shaded purple-gray is "don't like any".

black coffee

We assume that any form of "coffee" is "black coffee." The problem statement tells us 52 people like coffee.

Thus, the number of people who like black coffee is 52.

Learn more about Venn Diagram from:

https://brainly.com/question/14344003

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