Two sets A and B are non empty sets , if 2[n(AUB)]= 3[n(A)]=4[n(B)] and n(AnB) = 12 then. find n(AUB)​

1 thought on “Two sets A and B are non empty sets , if 2[n(AUB)]= 3[n(A)]=4[n(B)] and n(AnB) = 12 then. find n(AUB)​”

1. n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)

   Given n(A)=7

   n(B)=9

   n(A∪B)=14

   Substituting in 1

   14=7+9−n(A∩B)

   ⇒n(A∩B)=16−14=2

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