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Which meaning do the following phrases have?

[Sentences]
1. my father's picture
2. a picture of my father
3. a picture of my father's

[Meanings]
w. a picture that my father owns
x. a picrure that my father took/printed
y. a picture in which my father is
z. others
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1 w, x, y

2 y

3 w, x

There may be others.

y Isn't phrased very well: A picture that has my father's image, perhaps.
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[Sentences]
1. my father's picture
2. a picture of my father
3. a picture of my father's
[Meanings]
w. a picture that my father owns
x. a picrure that my father took/printed
y. a picture in which my father is
z. others
northwindWhich meaning do you imagine first or which meaning comes to your mind first when you hear or see 1, w, x, or y?
Which meaning do you imagine last or which meaning comes to your mind last when you hear or see 1, w, x, or y?
Which meaning do you imagine first or which meaning comes to your mind first when you hear or see 3, w, or x?
If my father were a very active and serious photographer, I'd lean more toward x in #3.
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Comments  
Thanks!

Can I ask one more?
Which meaning do you imagine first or which meaning comes to your mind first when you hear or see 1, w, x, or y?
Which meaning do you imagine last or which meaning comes to your mind last when you hear or see 1, w, x, or y?
Which meaning do you imagine first or which meaning comes to your mind first when you hear or see 3, w, or x?
 Avangi's reply was promoted to an answer.
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As Avangi said, context will influence your first reaction. If we had been looking at pictures of your family, then my first reaction would be "a picture that shows your father." If we had been talking about your father's art collection, then a picture your father owns. If I knew your father enjoyed photography, then a picture that your father took. There is no "first reaction" without some sort of context.
Wow!
How clear and how interesting!

Thanks!