Question

If n(U)=105, n(A)=60, n(B)=50, n(AUB)= 90 find n(A∩B) and n(AUB)complement, n0(A) and n0(B)

Answer 1

Answer:

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

= { 60+59- 90}

= { 119 - 90 }

= { 29 }

So, n ( AnB ) = 29

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

= { 105 - 90 }

= { 15}

So, n ( AUB )' = 15

n(A)' = ( n(U) - n(A))

= ( 90- 60)

= ( 30)

So, n(A)' = 30

n(B) ' = ( n(U) - n(B))

= 90 - 50

= 40

So, n(B)' = 40