Question

3) If A = {1, 2, 3, 4,5}, B = {2,4,6, 8, 10} then verity (A UB) = n(A) n(B) (ANB) n​

Answer 1

Answer:

explanation is given below

Step-by-step explanation:

A ∪ B={1,2,3,4,5,6,8,10}

n(A ∪ B)=8 [L.H.S]

n(A)=5 and n(B)=5 (According to given)

A ∩ B={2,4}

n(A ∩ B)=2

n(A)+n(B)-n(A ∩ B)=5+5-2=8 [R.H.S]

=> L.H.S=R.H.S(Proved)