Draw a Venn diagram and use the given information to fill in the number of elements in each region.

n(A) = 24 , n(B)=16, n(A U B)=31, n(A')=13

Help to figured this out I got 3, 8, 15, 7 but I believe it's wrong

use a diagram

Guest Sep 9, 2017

#1**+1 **

Draw a Venn diagram and use the given information to fill in the number of elements in each region.

n(A) = 24 , n(B)=16, n(A U B)=31, n(A')=13

Melody
Sep 9, 2017

#2**+1 **

Thank you, by looking at what you did, I figured out how to do the others but I am not sure of how to do this one. What do I substrate and add

Draw a Venn diagram and use the given information to fill in the number of elements in each region.

n(A)=17, n(A ∩ B ∩ C)=6, n(A ∩ C)=15, n(A ∩ B′)=10, n(B ∩ C)=10, n(A′ ∩ B′ ∩ C′)=21, n(B ∩ C′)=4,

n(B ∪ C)=36

Complete the Venn diagram.

Guest Sep 9, 2017

edited by
Guest
Sep 9, 2017

#3**0 **

Draw a Venn diagram and use the given information to fill in the number of elements in each region.

n(A)=17, n(A ∩ B ∩ C)=6, n(A ∩ C)=15, n(A ∩ B′)=10, n(B ∩ C)=10, n(A′ ∩ B′ ∩ C′)=21, n(B ∩ C′)=4,

n(B ∪ C)=36

Firstly there are 3 overlapping circles, A,B and C

The cap sign means intersection, which is where things overlap

The cup sign U means union, which includes everything that is mentioned

So where they all overlap is 6, put that in first

Now where A and C overlap is 15 but you already have 6 in that area so than other bit must be 15-6=9

Do the same thing for B intesect C

A' means all the elements that are **not** in A

I have not drawn the venn diagram so at this point I'd like you to draw it and upload what you have done. Do you know how do do that?

Melody
Sep 9, 2017

#4**+1 **

I drew the empty circles to start with then put the numbers in in the order indicated in the brackets :)

Try it yourself and see if you get the same answer. :)

n(A)=17 (6)

n(A ∩ B ∩ C)=6 (1)

n(A ∩ C)=15 (2)

n(A ∩ B′)=10 (5)

n(B ∩ C)=10 (3)

n(A′ ∩ B′ ∩ C′)=21 (4)

n(B ∩ C′)=4 (7)

n(B ∪ C)=36 (8)

Melody
Sep 9, 2017