Question

if n(a)=15, n(b)=12 and n(anb)=5,find n(nub)and n(only a)
please step by step​

Answer 1

Answer:

n

Step-by-step explanation:

n(nub) =15(15+12)

=15(27)

=405

Answer 2

Answer:

n(A∪B)  = 22

n(A only) = 10

Step-by-step explanation:

given, n(A) = 15; n(B) = 12 and n(A∩B) = 5

we know, n(A∪B) = n(A) + n(B) - n(A∩B)

here, n(A∪B)

= 15+12-5

= 27-5

= 22

=> n(A∪B)  = 22

consider n(A only)

ie., n(A∩B¹)                here B¹ -> B complement

= n(A) - n(A∩B)

= 15-5

= 10

=> n(A only) = 10