janmr.com | Generating All Permutations

janmr.com
Registration is open for the 2026 colloquia in #combinatorics on 13+14 of May, 2026, in London.
#scientificConference #mathematics
https://2dcic.github.io/
Alright, future engineers!
**Combinations:** Ways to *choose* items from a set where the order *doesn't* matter.
Ex: Picking 3 teammates from 5 friends: `C(5,3) = 10` ways.
Pro-Tip: If swapping items doesn't create a new outcome, it's a combination!
#DiscreteMath #Combinatorics #STEM #StudyNotes
Alright, future engineers!
**Combinations**: ways to choose items where order *doesn't* matter.
Ex: Choose 2 teammates from 5 friends: `C(5,2) = 5!/(2!3!) = 10` ways.
Pro-Tip: Think 'choosing a committee' – the group is what matters, not selection order!
#Probability #Combinatorics #STEM #StudyNotes

Alright, future engineers!

**Combinations**: ways to choose items where order *doesn't* matter.
Ex: Picking 3 committee members from 5 people: C(5,3) = 10 ways.
Pro-Tip: Think 'selecting ingredients for a soup' – the order you add them doesn't change the final soup!

#Combinatorics #DiscreteMath #STEM #StudyNotes

Alright, future engineers!

**Permutations**: ways to arrange items where order matters.
Ex: Arranging 3 books (A,B,C) is 3! = 6 ways.
Pro-Tip: Think 'President, VP, Secretary' - roles are distinct!

#Probability #Combinatorics #STEM #StudyNotes

Alright, future engineers!
**Combinations** count selections where order *doesn't* matter. Ex: Picking 3 teammates from 10. Formula: C(n,r) = n! / (r!(n-r)!). Pro-Tip: If reordering items yields the *same* group, it's a combination!
#Probability #Combinatorics #STEM #StudyNotes
Alright, future engineers!
A **Combination** is a selection of items where order *doesn't* matter. Ex: Choosing 3 people for a committee from 10. `C(N,K) = N!/(K!(N-K)!)`. Pro-Tip: Use for groups, not sequences!
#Combinatorics #DiscreteMath #STEM #StudyNotes
Registration is open for the 31st British Combinatorial Conference in Cardiff in Early July. Besides the plenary talks, there are minisymposia on various topics of #combinatorics and related areas of #mathematics , participants can submit abstracts for 20-min contributed talks.
Registration is cheaper before 17 May.
https://sites.google.com/view/bcc2026/home
31st BCC 2026

The British Combinatorial Conference is held every two years at a UK university. It features nine renowned plenary speakers, showcasing the full range of combinatorial mathematics, alongside several mini-symposia on more specialised topics, and contributed talks. The registration for the 31st

Visualizing the shifting proof of the Sauer-Shelah lemma: https://www.cs.columbia.edu/~djhsu/sauer_shift.html #sauershelah #combinatorics #shifting
Sauer-Shelah Lemma Shifting Viewer