Question

if n (a) = 20 , n (b) =50 , n (aub) = 60 and n (b') = 20 , find n (anb)and n (u)

Answer 1

Step-by-step explanation:

if n(a)=20n(b)=50,n(aub)=60 and n (b')=20.find n(anb) and n(u)

Answer 2

Given:

n(a) = 20

n(b) = 50

n(a∪b) = 60 and n(b') = 20

To Find:

n(a∩b) and n(u)

Solution:

We know that,

n(a∪b) = n(a) + n(b) - n(a∩b)

So, rearranging the above equation, we get

n(a∩b) = n(a) + n(b) - n(a∪b)

By sustituting values, we get

n(a∩b) = 20 + 50 - 60 = 70 - 60 = 10

Also,

n(u) = n(b) + n(b') = 50 + 20 = 70

Hence, n(a∩b) is 10 and n(u) is 70.