A leading cosmetics manufacturer advertises its product in three magazines: Magazine X, Magazine Y and Magazine Z. A survey of 500 customers by the manufacturer reveals the following information on the number of people learning of the product from each of the magazines:

Magazine X: 180

Magazine Y: 200

Magazine Z: 192

Some of these people came to know about the product from two or more magazines. The numbers by this classification are

Magazine X and Magazine Y: 84.

Magazine X and Magazine Z: 52

Magazine Y and Magazine Z: 64.

All three: 38.

a) Show these numbers in a Venn diagram.

b) How many of the customers saw the advertisement in:

(i) at least one magazine?

(ii) exactly one magazine?