Question

a venn diagram shows the memberships for the spanish, chess, and music clubs. use the diagram to answer the questions below. (a) select all the clubs that jim is not a member of. spanish chess music (b) how many students are members of the music club or the chess club (or both)? students (c) which of these students are in the spanish club but not any other club? choose all that apply. aldo joe jim john alan sam

Explanation:

(a)

In the Venn diagram, Jim is inside the Chess - club circle. So, he is not in the Spanish and Music clubs.

Step1: List members of Music Club

Members of Music Club: Sam, Alan, Kala, Ivan, Deon, Aldo, Chau

Step2: List members of Chess Club

Members of Chess Club: Jim, John, Jose, Hong, Deon, Ivan, Kala, Alan

Step3: Combine and remove duplicates

Combined list (using the principle of inclusion - exclusion for sets \(A\) (Music) and \(B\) (Chess), \(n(A\cup B)=n(A)+n(B)-n(A\cap B)\)). \(n(A) = 7\), \(n(B)=8\), \(n(A\cap B) = 4\) (Deon, Ivan, Kala, Alan). So \(n(A\cup B)=7 + 8-4=11\)

We need to find students only in the Spanish - club circle (not overlapping with Chess or Music circles). Joe is only in the Spanish - club circle.

Answer:

Spanish, Music

(b)