The letters in the word MATHEMATICS make up the universal set.
The Universal Set is written out to be:
[tex]U=\mleft\lbrace M,A,T,H,E,I,C,S\mright\rbrace[/tex]Note that we do not need to repeat letters when listing out the elements of the set.
The letters can either be vowels or consonants.
If E is the set of vowels appearing in the Universal set, we have the set to be:
[tex]E=\mleft\lbrace A,E,I\mright\rbrace[/tex]The FIRST OPTION is correct.