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
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
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.
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?
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)