Question

If u is the universal set and As B are subset A of U such that n(u) = 100, n(A)= 60, n(81)= 45 and n[LA U B'] = 10% find (1) n(ANB); (11) n (A? UB)​

Answer 1

Answer:

=300

Step-by-step explanation:

Given that:

n(U)=700,n(A)=200,n(B)=300 and n(A∩B)=100

To find:

n(A

′

∩B

′

)=?

Solution:

We know that,

n(A

′

∩B

′

)=n(A∪B)

′

=n(U)−n(A∪B)            (i)

n(A∪B)=n(A)+n(B)−n(A∩B)

=200+300−100

=400

Putting value of n(A∪B) in eqn. in (i) we get,

n(A

′

∩B

′

)=n(A∪B)

′

=n(U)−n(A∪B)

=700−400

=300

∴n(A

′

∩B

′

)=300