Need help in set theory

[frosty knoll]

Where are you right now? Which step do you need help in? @terse steeple

If you cant understand where to start, try drawing a venn diagram and labelling the number of people who watch all 3 to be x.
Next, say, the number of people who play cricket and football includes those who play all 3. So, to get the value of the part of the venn diagram that represents only cricket and football would just be that value minus x (145 - x)

[terse steeple]

M at the 2nd part

U(600 - 150 = 450) - A & B - B & C - C & A + 2 A & B & C

U -> {x : x E x watch atleast 1}
A & B -> {x: x E watch A , B }
B & C -> {x: x E watch B , C }
C & A -> {x: x E watch C , A }

blue region is my answer so if i subtract all the intersection from union ill get my answer
but in this way ill end my subtracting red region(A&B&C) 3 times which i had to do only once
so ill have to add that twice ?

Am not sure if it's correct

[rare tendon]

yeah i think the max people who watch the match are 450

but what is the intersection ?

[terse steeple]

Of abc?

20

[rare tendon]

hmm can u explain why 20 ?

[terse steeple]

Union(A,B,C) = A + B + C - A & B - A & B - B & C + A & B & C
put the values