What’s on the Permutations vs Combinations poster
Permutations against Combinations, side by side.
- Permutations: Order matters
- Permutations: P(n, r) = n! / (n − r)!
- Permutations: Arrangements, rankings, passwords
- Permutations: ABC and CBA are different
- Permutations: n! for the whole set
- Permutations: With repetition allowed: n^r
- Combinations: Order does not matter
- Combinations: C(n, r) = n! / (r!(n − r)!)
- Combinations: Committees, hands, subsets
- Combinations: ABC and CBA are the same
- Combinations: 2ⁿ subsets in total
- Combinations: Symmetry: C(n, r) = C(n, n − r)
- C(n, r) = P(n, r) / r! — you divide out the r! orderings that were counted separately.
If swapping two chosen items gives a different outcome, it is a permutation. If it gives the same outcome, it is a combination.
Questions about the Permutations vs Combinations poster
- What’s on the Permutations vs Combinations poster?
- Permutations against Combinations, side by side. Permutations: Order matters; Permutations: P(n, r) = n! / (n − r)!; Permutations: Arrangements, rankings, passwords; Permutations: ABC and CBA are different; Permutations: n! for the whole set; Permutations: With repetition allowed: n^r; Combinations: Order does not matter; Combinations: C(n, r) = n! / (r!(n − r)!); Combinations: Committees, hands, subsets; Combinations: ABC and CBA are the same; Combinations: 2ⁿ subsets in total; Combinations: Symmetry: C(n, r) = C(n, n − r); C(n, r) = P(n, r) / r! — you divide out the r! orderings that were counted separately.. If swapping two chosen items gives a different outcome, it is a permutation. If it gives the same outcome, it is a combination.
- Who is the Permutations vs Combinations poster for?
- Permutations vs Combinations belongs to the Mathematics section rather than to a school year, because math is not something one grade owns. Anyone learning discrete mathematics can pin it up — a beginner, a student mid-course, or someone revising years later.
- When should you use the Permutations vs Combinations poster?
- Whenever a counting problem asks how many ways a selection can be made. A wall chart earns its place by being glanceable from where the work is happening, so Permutations vs Combinations belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
- What other posters go with Permutations vs Combinations?
- The Binomial Theorem, Counting Principles and Euler & Hamiltonian Paths sit alongside Permutations vs Combinations in the Mathematics section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.The Binomial TheoremCounting PrinciplesEuler & Hamiltonian Paths
- Is the Permutations vs Combinations poster free to download and print?
- Yes. Permutations vs Combinations downloads as a free PDF with no account, no email and no watermark, like everything else in the Mathematics section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
- What size does the Permutations vs Combinations poster print at?
- Permutations vs Combinations is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Permutations vs Combinations loses nothing.Printing guide
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