Question

n(AUB) = n(A) + n(B)-n(
AB)
means n (A) + n(B) = n(AUB) + n(
AB)
Ex. Let A = {1, 2, 3, 5, 7, 9, 11, 13;
B = [1, 2, 4, 6, 8, 12, 13)
Verify the above rule for the given set A and set B.​

Answer 1

Answer:

It is given that,

A={1,2,3,5,7,9,11,13}

B={1,2,4,6,8,12,13}

From this,

n(A)=8, n(B)=7

(AUB)={1,2,3,4,5,6,7,8,9,11,12,13}

n(AUB)=12

AnB={1,2,13}

n(AnB)=3

From the Addition theorem,

In LHS,

n(A)+n(B)=8+7=15

In RHS,

n(AUB)+n(AnB)=12+3=15

so, both are equal.....

Hope it helps you.......