Question

Q.1) Solve the following: (4M each)
i. Let A = {1,3,5,6,7), B= {4,6,7,9), then verify the following.
n(AUB) = n(A) + n(B) - n(
AB)​

Answer 1

Answer:

hi

Step-by-step explanation:

n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)

Given n(A)=7

n(B)=9

n(A∪B)=14

Substituting in 1

14=7+9−n(A∩B)

⇒n(A∩B)=16−14=2

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Answer 2

Answer:

n(AUB) = 7 = n(A) + n(B) - n(AnB)

Step-by-step explanation:

A = {1,3,5,6,7} n(A) = 5

B = {4,6,7,9} n(B) = 4

AnB = {6,7} n(AnB) = 2

AUB = { 1,3,4,5,6,7,9} n(AUB) = 7

n(AUB) = 7

n(A) + n(B) - n(AnB) = 5+4-2 = 7

Hence the proof