Question

Venn Diagram Problem Solving: Jennifer asked 80 people wich sports they enjoy from Football, Hockey, and Rugby. Venn Diagrams / Sets; Individual: Football = {4} Hockey = {5} Rugby = {3} Intersections: Football & Hockey = {14} Football & Rugby = {17} Hockey & Rugby = {5} Hockey, Football & Rugby = {31} Universal Set = {1,4,5,3,14,17,5,31}. Questions:
1. How many people enjoy all three sports?
2. How many people enjoy football and hockey but not rugby?
3. How many people enjoy football and rugby but not hockey?
4. Which sport is enjoyed by the most number of people.

Answer 1

Answer:

Venn Diagram Problem Solving: Jennifer asked 80 people wich sports they enjoy from Football, Hockey, and Rugby. Venn Diagrams / Sets; Individual: Football = {4} Hockey = {5} Rugby = {3} Intersections: Football & Hockey = {14} Football & Rugby = {17} Hockey & Rugby = {5} Hockey, Football & Rugby = {31}

Step-by-step explanation:

Answer 2

The correct answers to the questions are as follows;

1. 31 people enjoy all three sports.

2. 14 people enjoy Football and Hockey both, but not Rugby.

3. 17 people enjoy Football and Rugby both, but not Hockey.

4. Football is enjoyed by most the people.

Explanation:

• In the above given Venn diagram problem a total of 80 people have given the vote to their favorite sport among Hockey, Football, and Rugby.
• i.e., the universal set consists of a total of 80 people.
• The number of people enjoying only Football is 4.

• The number of people enjoying only Hockey is 5.

• The number of people enjoying only Rugby is 3.

• The number of people enjoying Football and Rugby is 17.
• The number of people enjoying Football and Hockey is 14.

• The number of people enjoying Hockey and Rugby is 5.

• The number of people enjoying all three sports are 31.

Now, to calculate the total number of people enjoying football, we will have to add the people enjoying football with or not with any other sport.

For example;

The number of people enjoying Football is 31 + 17 + 14 = 66.

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