Let's analyze the given hints:
1) Louise's sister is married to Michel.
This implies that Louise is not married to Michel, but her sister is. Let's denote Louise's sister as Carole.
2) Gilles has never met Lily, who is an only child.
This implies that Lily is not married to Gilles, and she is an only child.
Now, let's put it all together:
- Louise's sister is Carole and is married to Michel.
- Louise is not married to Michel.
- Gilles has never met Lily.
Since Lily is an only child and Gilles has never met her, it means that Lily is not married to Gilles.
So, the remaining option for Lily's husband is Robert.
Now we have:
- Louise's sister (Carole) is married to Michel.
- Lily is married to Robert.
The only remaining couple is Gilles and Louise:
- Gilles is married to Louise.
So, the couples are:
1) Gilles is married to Louise.
2) Robert is married to Lily.
3) Michel is married to Carole.
1) Louise's sister is married to Michel.
This implies that Louise is not married to Michel, but her sister is. Let's denote Louise's sister as Carole.
2) Gilles has never met Lily, who is an only child.
This implies that Lily is not married to Gilles, and she is an only child.
Now, let's put it all together:
- Louise's sister is Carole and is married to Michel.
- Louise is not married to Michel.
- Gilles has never met Lily.
Since Lily is an only child and Gilles has never met her, it means that Lily is not married to Gilles.
So, the remaining option for Lily's husband is Robert.
Now we have:
- Louise's sister (Carole) is married to Michel.
- Lily is married to Robert.
The only remaining couple is Gilles and Louise:
- Gilles is married to Louise.
So, the couples are:
1) Gilles is married to Louise.
2) Robert is married to Lily.
3) Michel is married to Carole.