Question

if n(u)=50 n(a)=25,n(b)=20, and n(a u b )=40, find n(a n b) find n(a)' ; n(b)'; n(a u b); n( a n b)​

Answer 1

Answer:

Step-by-step explanation:

n(u)  = 50 ,  n(a) = 25 , n(b) = 20

n(a U b ) = 40

n ( a ∩ b )  = n(a) + n(b) - n ( a ∪ b )

                 =  50 + 25 - 40

                 =   75 - 40

n ( a ∩ b )  =  25

n (a)'  =   n(u) - n(a)

         =    50 - 25

n(a)'   =  25

n(b)'  =  n(u) - n(b)

        =  50 - 20

        = 30

n ( a ∪ b )'  =  25 + 30 - 40

                  = 5

n ( a ∩ b )'  =  25 + 30 - 25

                   = 30