Question

If A = {x/ x is a vowel in the word 'EDUCATION'} and B = { y/y is a vowel in the word 'FACETIOUS'} then, which one of the following is correct?

Answer 1

Answer: your answer

Step-by-step explanation:

A={I,N,D,A}  

B={E,U,A,I,O}

n(A)=4

n(B)=5

A∪B={I,N,D,A,E,U,O}

n(A∪B)=7

A∩B={A,I}

n(A∩B)=2

n(A)+n(B)−n(A∩B)

=4+5−2=7

∴n(A∪B)=n(A)+n(B)−n(A∩B)