Question

if n (a) = 15 n( a intersection b) = 8 n(a u b ) =19 find n (b)​

Answer 1

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Given ,

n(A)=15

n(AᑎB)=8

n(AᑌB)=19

To Find,

n(B)=?

Required Formula,

n(B)=n(Aᑌᗷ)-n(A)+n(AᑎB)

Solution

n(B)=n(Aᑌᗷ)-n(A)+n(AᑎB)

=19-15+8

=27-15

=12

Hence n(B) is 12.

Answer 2

Answer:

N(B) = 12

Step-by-step explanation:

N(A U B) =N (A)+N (B)- N(A intersection B)

So,

N(B). =N(A U B) + N(A intersection B) -N(A).

=19+8-15

=27-15

=12

Verification:

N (A U B) =N(A) +N (B) -N (A Intersection B)

19 =15+12-8

= 27-8

= 19

Therefore,LHS =RHS.