13.b Three Overlapping Sets

Question 1

What should you use to solve problems of 3 overlapping sets?

Answer 1

Venn Diagram

Question 2

How can you represent all elements in Group A?

Answer 2

Group A = d + e + g + h

Question 3

What area is: A only, B only, C only?

Answer 3

Question 4

How would you calculate the total number of members in exactly one group?

Answer 4

in A only + # in B only + # in C only = Total number of members in exactly one group

Question 5

What area is: (A and B and C) only?

Answer 5

Question 6

What area is: Neither A, Nor B, Nor C

Answer 6

Question 7

What area is the overlap between the different groups?

Answer 7

Question 8

What area is: (A and B) only, (B and C) only, (A and C) onky?

Answer 8

Question 9

Fill in this venn diagram:

14 spreak French and Spanish, 16 speak German and Spanish, and 13 speak French and German

Answer 9

Question 10

How would you tackle this?

Answer 10

Start in the centre with those who do all three, and work your way out.

Question 11

How would you find how many items dont belong in any group if you are given:

• Group A
• Group B
• Group C
• # of items that belong to exactly 2 groups
• # of items that belong to exactly all 3 groups

Answer 11

You add all of Group A + Group B + Group C, and then subtract “# of items that belong to exactly 2 groups” and subtract “# of items that belong to exactly 3 groups” TWICE!

Question 12

Solve:

Answer 12

Question 13

How many people want either Job A or Job B?

Answer 13

[WATCH OUT!]

This is asking for people wanting either job A or Job B, NOT for how many people want exactly one job.

So its both + only A + only B