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1. Protons and electrons (form hydrogen atoms)

* Or cations and anions (form salts), e.g. Na<sup>+</sup> and Cl<sup>-</sup>

2. Pens and pen-caps

* Bottles and bottle caps, etc.

3. Textbooks (for the course being taught) and students

4. Light bulbs and light sockets

5. Power cords and electrical outlet sockets

6. Cars and parking spaces

7. Seats and attendees, e.g. students in the classroom and classroom seats

8. Mimes and invisible boxes

9. Numerators and denominators

10. Boxes of cereal and toys-that-go-at-the-bottom-of-boxes-of-cereal

I'm currently racking my brain for two distinct sets of objects S1 and S2, where we might naturally think of pairing objects in S1 to objects in S2, and where there is one most natural pairing

Just for fun, $\TeX$'d up a table:

$$ {\begin{array}{c|c|c|c} & \textbf{S}_\textbf{1} & \textbf{S}_\textbf{2} & \textbf{Natural Pairing} \\ \hline \small{1} & \text{proton} & \text{electron} & \text{Hydrogen} \\ \hline \small{2} & \text{anion} & \text{cation} & \text{salt} \\ \hline \small{3} & \text{pen} & \text{pen cap} & \text{capped pen} \\ \hline \small{4} & \text{bottle} & \text{bottle cap} & \text{capped bottle} \\ \hline \small{5} & \text{student} & \text{textbook} & \text{prepared student} \\ \hline \small{6} & \text{student} & \text{seat} & \text{seated student} \\ \hline \small{7} & \text{power cord} & \text{power outlet} & \text{plugged-in cord} \\ \hline \small{8} & \text{light bulb} & \text{light socket} & \text{light} \\ \hline \small{9} & \text{car} & \text{parking spot} & \text{parked car} \\ \hline \small{10} & \text{mime} & \text{invisible box} & \text{boxed mime} \\ \hline \small{11} & \text{screw} & \text{screw hole} & \text{inserted screw} \\ \hline \small{12} & \text{left glove} & \text{right glove} & \text{gloves} \\ \hline \small{13} & \text{numerator} & \text{denominator} & \text{fraction} \\ \hline \small{14} & \text{Na}^{+} & \text{Cl}^{-} & \text{NaCl} \\ \hline \small{15} & \text{thing} & \text{name} & \text{named thing} \end{array}}_{\huge{.}} $$

1. Protons and electrons (form hydrogen atoms)

* Or cations and anions (form salts), e.g. Na<sup>+</sup> and Cl<sup>-</sup>

2. Pens and pen-caps

* Bottles and bottle caps, etc.

3. Textbooks (for the course being taught) and students

4. Light bulbs and light sockets

5. Power cords and electrical outlet sockets

6. Cars and parking spaces

7. Seats and attendees, e.g. students in the classroom and classroom seats

8. Mimes and invisible boxes

9. Numerators and denominators

10. Boxes of cereal and toys-that-go-at-the-bottom-of-boxes-of-cereal

I'm currently racking my brain for two distinct sets of objects S1 and S2, where we might naturally think of pairing objects in S1 to objects in S2, and where there is one most natural pairing

Just for fun, $\TeX$'d up a table:

$$ {\begin{array}{c|c|c|c} & \textbf{S}_\textbf{1} & \textbf{S}_\textbf{2} & \textbf{Natural Pairing} \\ \hline \small{1} & \text{proton} & \text{electron} & \text{Hydrogen} \\ \hline \small{2} & \text{anion} & \text{cation} & \text{salt} \\ \hline \small{3} & \text{pen} & \text{pen cap} & \text{capped pen} \\ \hline \small{4} & \text{bottle} & \text{bottle cap} & \text{capped bottle} \\ \hline \small{5} & \text{student} & \text{textbook} & \text{prepared student} \\ \hline \small{6} & \text{student} & \text{seat} & \text{seated student} \\ \hline \small{7} & \text{power cord} & \text{power outlet} & \text{plugged-in cord} \\ \hline \small{8} & \text{light bulb} & \text{light socket} & \text{light} \\ \hline \small{9} & \text{car} & \text{parking spot} & \text{parked car} \\ \hline \small{10} & \text{mime} & \text{invisible box} & \text{boxed mime} \\ \hline \small{11} & \text{screw} & \text{screw hole} & \text{inserted screw} \\ \hline \small{12} & \text{left glove} & \text{right glove} & \text{gloves} \\ \hline \small{13} & \text{numerator} & \text{denominator} & \text{fraction} \\ \hline \small{14} & \text{Na}^{+} & \text{Cl}^{-} & \text{NaCl} \\ \hline \small{15} & \text{thing} & \text{name} & \text{named thing} \\ \hline \small{16} & x & y & \left(x,~y\right) \\ \hline \small{17} & \text{longitude} & \text{latitude} & \begin{array}{c} \text{possible site of} \\ \text{buried treasure} \end{array} \end{array}}_{\huge{.}} $$

1. Protons and electrons (form hydrogen atoms)

* Or cations and anions (form salts), e.g. Na<sup>+</sup> and Cl<sup>-</sup>

2. Pens and pen-caps

* Bottles and bottle caps, etc.

3. Textbooks (for the course being taught) and students

4. Light bulbs and light sockets

5. Power cords and electrical outlet sockets

6. Cars and parking spaces

7. Seats and attendees, e.g. students in the classroom and classroom seats

8. Mimes and invisible boxes

9. Numerators and denominators

10. Boxes of cereal and toys-that-go-at-the-bottom-of-boxes-of-cereal

I'm currently racking my brain for two distinct sets of objects S1 and S2, where we might naturally think of pairing objects in S1 to objects in S2, and where there is one most natural pairing

Just for fun, $\TeX$'d up a table:

$$ {\begin{array}{c|c|c|c} & \textbf{S}_\textbf{1} & \textbf{S}_\textbf{2} & \textbf{Natural Pairing} \\ \hline \small{1} & \text{proton} & \text{electron} & \text{Hydrogen} \\ \hline \small{2} & \text{anion} & \text{cation} & \text{salt} \\ \hline \small{3} & \text{pen} & \text{pen cap} & \text{capped pen} \\ \hline \small{4} & \text{bottle} & \text{bottle cap} & \text{capped bottle} \\ \hline \small{5} & \text{student} & \text{textbook} & \text{prepared student} \\ \hline \small{6} & \text{student} & \text{seat} & \text{seated student} \\ \hline \small{7} & \text{power cord} & \text{power outlet} & \text{plugged-in cord} \\ \hline \small{8} & \text{light bulb} & \text{light socket} & \text{light} \\ \hline \small{9} & \text{car} & \text{parking spot} & \text{parked car} \\ \hline \small{10} & \text{mime} & \text{invisible box} & \text{boxed mime} \\ \hline \small{11} & \text{screw} & \text{screw hole} & \text{inserted screw} \\ \hline \small{12} & \text{left glove} & \text{right glove} & \text{gloves} \\ \hline \small{13} & \text{numerators} & \text{denominators} & \text{fractions} \\ \hline \small{14} & \text{Na}^{+} & \text{Cl}^{-} & \text{NaCl} \\ \hline \small{15} & \text{thing} & \text{name} & \text{named thing} \end{array}}_{\huge{.}} $$

1. Protons and electrons (form hydrogen atoms)

* Or cations and anions (form salts), e.g. Na<sup>+</sup> and Cl<sup>-</sup>

2. Pens and pen-caps

* Bottles and bottle caps, etc.

3. Textbooks (for the course being taught) and students

4. Light bulbs and light sockets

5. Power cords and electrical outlet sockets

6. Cars and parking spaces

7. Seats and attendees, e.g. students in the classroom and classroom seats

8. Mimes and invisible boxes

9. Numerators and denominators

10. Boxes of cereal and toys-that-go-at-the-bottom-of-boxes-of-cereal

I'm currently racking my brain for two distinct sets of objects S1 and S2, where we might naturally think of pairing objects in S1 to objects in S2, and where there is one most natural pairing

Just for fun, $\TeX$'d up a table:

$$ {\begin{array}{c|c|c|c} & \textbf{S}_\textbf{1} & \textbf{S}_\textbf{2} & \textbf{Natural Pairing} \\ \hline \small{1} & \text{proton} & \text{electron} & \text{Hydrogen} \\ \hline \small{2} & \text{anion} & \text{cation} & \text{salt} \\ \hline \small{3} & \text{pen} & \text{pen cap} & \text{capped pen} \\ \hline \small{4} & \text{bottle} & \text{bottle cap} & \text{capped bottle} \\ \hline \small{5} & \text{student} & \text{textbook} & \text{prepared student} \\ \hline \small{6} & \text{student} & \text{seat} & \text{seated student} \\ \hline \small{7} & \text{power cord} & \text{power outlet} & \text{plugged-in cord} \\ \hline \small{8} & \text{light bulb} & \text{light socket} & \text{light} \\ \hline \small{9} & \text{car} & \text{parking spot} & \text{parked car} \\ \hline \small{10} & \text{mime} & \text{invisible box} & \text{boxed mime} \\ \hline \small{11} & \text{screw} & \text{screw hole} & \text{inserted screw} \\ \hline \small{12} & \text{left glove} & \text{right glove} & \text{gloves} \\ \hline \small{13} & \text{numerator} & \text{denominator} & \text{fraction} \\ \hline \small{14} & \text{Na}^{+} & \text{Cl}^{-} & \text{NaCl} \\ \hline \small{15} & \text{thing} & \text{name} & \text{named thing} \end{array}}_{\huge{.}} $$

1. Protons and electrons (form hydrogen atoms)

* Or cations and anions (form salts), e.g. Na<sup>+</sup> and Cl<sup>-</sup>

2. Pens and pen-caps

* Bottles and bottle caps, etc.

3. Textbooks (for the course being taught) and students

4. Light bulbs and light sockets

5. Power cords and electrical outlet sockets

6. Cars and parking spaces

7. Seats and attendees, e.g. students in the classroom and classroom seats

8. Mimes and invisible boxes

9. Numerators and denominators

10. Boxes of cereal and toys-that-go-at-the-bottom-of-boxes-of-cereal

1. Protons and electrons (form hydrogen atoms)

* Or cations and anions (form salts), e.g. Na<sup>+</sup> and Cl<sup>-</sup>

2. Pens and pen-caps

* Bottles and bottle caps, etc.

3. Textbooks (for the course being taught) and students

4. Light bulbs and light sockets

5. Power cords and electrical outlet sockets

6. Cars and parking spaces

7. Seats and attendees, e.g. students in the classroom and classroom seats

8. Mimes and invisible boxes

9. Numerators and denominators

10. Boxes of cereal and toys-that-go-at-the-bottom-of-boxes-of-cereal

I'm currently racking my brain for two distinct sets of objects S1 and S2, where we might naturally think of pairing objects in S1 to objects in S2, and where there is one most natural pairing

Just for fun, $\TeX$'d up a table:

$$ {\begin{array}{c|c|c|c} & \textbf{S}_\textbf{1} & \textbf{S}_\textbf{2} & \textbf{Natural Pairing} \\ \hline \small{1} & \text{proton} & \text{electron} & \text{Hydrogen} \\ \hline \small{2} & \text{anion} & \text{cation} & \text{salt} \\ \hline \small{3} & \text{pen} & \text{pen cap} & \text{capped pen} \\ \hline \small{4} & \text{bottle} & \text{bottle cap} & \text{capped bottle} \\ \hline \small{5} & \text{student} & \text{textbook} & \text{prepared student} \\ \hline \small{6} & \text{student} & \text{seat} & \text{seated student} \\ \hline \small{7} & \text{power cord} & \text{power outlet} & \text{plugged-in cord} \\ \hline \small{8} & \text{light bulb} & \text{light socket} & \text{light} \\ \hline \small{9} & \text{car} & \text{parking spot} & \text{parked car} \\ \hline \small{10} & \text{mime} & \text{invisible box} & \text{boxed mime} \\ \hline \small{11} & \text{screw} & \text{screw hole} & \text{inserted screw} \\ \hline \small{12} & \text{left glove} & \text{right glove} & \text{gloves} \\ \hline \small{13} & \text{numerators} & \text{denominators} & \text{fractions} \\ \hline \small{14} & \text{Na}^{+} & \text{Cl}^{-} & \text{NaCl} \\ \hline \small{15} & \text{thing} & \text{name} & \text{named thing} \end{array}}_{\huge{.}} $$