Add combinatoric punnett squares.

notes/.obsidian/plugins/obsidian-to-anki-plugin/data.json

@@ -83,7 +83,12 @@
     "merge-sort.gif",
     "theta-notation.png",
     "big-o-notation.png",
-    "big-omega-notation.png"
+    "big-omega-notation.png",
+    "ordering-y-repetition-y.jpg",
+    "ordering-repetition.jpg",
+    "ordering-y-repetition-n.jpg",
+    "ordering-n-repetition-y.jpg",
+    "ordering-n-repetition-n.jpg"
   ],
   "File Hashes": {
     "algorithms/index.md": "cd7c7ba91fb2f961c9f2437777e8e2ac",
@@ -176,7 +181,7 @@
     "_journal/2024-02-17.md": "7c37cb10515ed3d2f5388eaf02a67048",
     "_journal/2024-02/2024-02-16.md": "e701902e369ec53098fc2deed4ec14fd",
     "binary/integer-encoding.md": "7ace6ab6c5a4191ae0abdfe7e5abb6a2",
-    "combinatorics/index.md": "9a85e8858c50c9797243d6d01e1dcbe7",
+    "combinatorics/index.md": "200f23380b0817cc13a9acd40996b125",
     "_journal/2024-02-18.md": "67e36dbbb2cac699d4533b5a2eaeb629",
     "_journal/2024-02/2024-02-17.md": "7c37cb10515ed3d2f5388eaf02a67048",
     "combinatorics/multiplicative-principle.md": "f1430302e0a35b863fa965a834c4e40a",

notes/combinatorics/index.md

@@ -36,34 +36,110 @@ END%%
 
 %%ANKI
 Basic
-If order matters and repeats are allowed, the number of selections is usually formatted in what way?
+What combinatorial *notation* corresponds to the highlighted square?
+![[ordering-y-repetition-y.jpg]]
 Back: $n^k$
 Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf).
-<!--ID: 1708715147783-->
+<!--ID: 1709305803508-->
 END%%
 
 %%ANKI
 Basic
-If order matters and repeats are disallowed, the number of selections is usually formatted in what way?
+What combinatorial *concept* corresponds to the highlighted square?
-Back: $(n)_k$ (falling factorial)
+![[ordering-y-repetition-y.jpg]]
+Back: The multiplicative principle.
 Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf).
-<!--ID: 1708715147784-->
+<!--ID: 1709305803515-->
 END%%
 
 %%ANKI
 Basic
-If order does not matter and repeats are allowed, the number of selections is usually formatted in what way?
+Which square corresponds to notation $n^k$?
-Back: $\binom{n + k}{k}$ (stars and bars)
+![[ordering-repetition.jpg]]
-Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf).
+Back:
-<!--ID: 1708715147786-->
+![[ordering-y-repetition-y.jpg]]
+<!--ID: 1709305803518-->
 END%%
 
 %%ANKI
 Basic
-If order does not matter and repeats are disallowed, the number of selections is usually formatted in what way?
+What combinatorial *notation* corresponds to the highlighted square?
-Back: $\binom{n}{k}$ (combinations)
+![[ordering-y-repetition-n.jpg]]
+Back: $(n)_k$
 Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf).
-<!--ID: 1708715147787-->
+<!--ID: 1709305912355-->
+END%%
+
+%%ANKI
+Basic
+What combinatorial *concept* corresponds to the highlighted square?
+![[ordering-y-repetition-n.jpg]]
+Back: $k$-permutations (falling factorials)
+Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf).
+<!--ID: 1709306052449-->
+END%%
+
+%%ANKI
+Basic
+Which square corresponds to notation $(n)_k$?
+![[ordering-repetition.jpg]]
+Back:
+![[ordering-y-repetition-n.jpg]]
+<!--ID: 1709305912359-->
+END%%
+
+%%ANKI
+Basic
+What combinatorial *notation* corresponds to the highlighted square?
+![[ordering-n-repetition-y.jpg]]
+Back: $\binom{n + k}{k}$
+Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf).
+<!--ID: 1709306052455-->
+END%%
+
+%%ANKI
+Basic
+What combinatorial *concept* corresponds to the highlighted square?
+![[ordering-n-repetition-y.jpg]]
+Back: Stars and bars
+Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf).
+<!--ID: 1709306052461-->
+END%%
+
+%%ANKI
+Basic
+Which square corresponds to notation $\binom{n + k}{k}$?
+![[ordering-repetition.jpg]]
+Back:
+![[ordering-n-repetition-y.jpg]]
+<!--ID: 1709306052468-->
+END%%
+
+%%ANKI
+Basic
+What combinatorial *notation* corresponds to the highlighted square?
+![[ordering-n-repetition-n.jpg]]
+Back: $\binom{n}{k}$
+Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf).
+<!--ID: 1709306140856-->
+END%%
+
+%%ANKI
+Basic
+What combinatorial *concept* corresponds to the highlighted square?
+![[ordering-n-repetition-n.jpg]]
+Back: Combinations
+Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf).
+<!--ID: 1709306140887-->
+END%%
+
+%%ANKI
+Basic
+Which square corresponds to notation $\binom{n}{k}$?
+![[ordering-repetition.jpg]]
+Back:
+![[ordering-n-repetition-n.jpg]]
+<!--ID: 1709306140891-->
 END%%
 
 ## References