A1 is tied to E2.
A2 is tied to E1.
If either of those two groups are chosen, 2 choices, 2 more can be selected from the 6 people in the nonvowel rows:
6!/4!2! = 15
For a total of 30 ways
Of course, selecting one of the vowel groups above doesn't preclude selecting the remaining two people from the other vowel group, which is the same as saying how many ways to select 4 people from 4 people, or:
1 way
Finally, 4 people can be chosen solely from the consonant groups of 6 people:
6!/2!4! = 15 ways
The total choices being:
30+1+15 = 46
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