Question 1103146
<font color="black" face="times" size="3">
We're given three facts
Fact 1: Mary Anne is not the second.
Fact 2: Faye comes after Alia.
Fact 3: Alia is ahead of Mary Anne.


Let
A = Alia
F = Faye
M = Mary Anne


Using the letters assigned above will help with shorthand notation.


There are 3*2*1 = 6 ways to order the three letters. The list of possible orderings (so far) is
A, F, M
A, M, F
F, A, M
F, M, A
M, A, F
M, F, A


Here is a table showing if each possible ordering is possible or not, based on the constraints of the given facts above
<table border=1><tr><th>Ordering</th><th>Is The Ordering Possible?</th><th>Why or Why not?</th></tr><tr><td>A, F, M</td><td>Yes</td><td>All three facts (see above) are satisfied</td></tr><tr><td>A, M, F</td><td>No</td><td>Fact 1 is false (Mary Anne shouldn't be second)</td></tr><tr><td>F, A, M</td><td>No</td><td>Fact 2 is false (Faye should come after Alia)</td></tr><tr><td>F, M, A</td><td>No</td><td>Fact 1 is false (Mary Anne shouldn't be second)</td></tr><tr><td>M, A, F</td><td>No</td><td>Fact 3 is false (Alia should be ahead of Mary Anne)</td></tr><tr><td>M, F, A</td><td>No</td><td>Fact 2 is false (Faye should come after Alia)</td></tr></table>


Every item but A, F, M is possible (based on the constraints given by fact 1, fact 2, fact 3 above)


So the only proper ordering is A, F, M meaning Alia is first, Faye is second and Mary Anne is third


<font color=red>Therefore, Mary Anne is the 3rd in the list</font>
</font>