Question

A and B are two subsets of a Universal set n(U) =210 ,( A) =120 and n(B) =60 and n(AUB over compliment) =45 then, show it in a Venn diagram and find the value of n(AnB)​

Answer 1

given,

n(U) = 210

n(A) = 120

n(B) = 60

n(AUB)' = 45

we know that

n(AUB) = n(U) - n(AUB)'

= 210-45 = 165

and

n(AUB) = n(A) + n(B) - n(AnB)

15165 = 120+60-n(AnB)

n(AnB) = 15