Permutations and CombinationsDoes the order matter? That one question chooses the formula.10th GradePERMUTATIONOrder mattersArrangements, rankings,passwordsnPr = n! / (n−r)!1st, 2nd and 3rd placeAlways larger than thecombinationCOMBINATIONOrder does not matterCommittees, hands of cards,teamsnCr = n! / (r!(n−r)!)Choosing 3 people for a groupAlways smallerTHE DIFFERENCE THAT MATTERSPicking gold, silver and bronze is a permutation. Picking threefinalists is a combination.nCr is nPr divided by r!, because r! orderings of the same group allcount as one.Permutations and Combinationslearnposters.com
Permutations and Combinations — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Permutations and Combinations poster

PERMUTATION against COMBINATION, side by side.

nCr is nPr divided by r!, because r! orderings of the same group all count as one.

Questions about the Permutations and Combinations poster

What’s on the Permutations and Combinations poster?
PERMUTATION against COMBINATION, side by side. PERMUTATION: Order matters; PERMUTATION: Arrangements, rankings, passwords; PERMUTATION: nPr = n! / (n−r)!; PERMUTATION: 1st, 2nd and 3rd place; PERMUTATION: Always larger than the combination; COMBINATION: Order does not matter; COMBINATION: Committees, hands of cards, teams; COMBINATION: nCr = n! / (r!(n−r)!); COMBINATION: Choosing 3 people for a group; COMBINATION: Always smaller; Picking gold, silver and bronze is a permutation. Picking three finalists is a combin…. nCr is nPr divided by r!, because r! orderings of the same group all count as one.
Who is the Permutations and Combinations poster for?
Permutations and Combinations is filed under 10th Grade (ages 15–16), so it matches what that year asks a child to remember. It is equally useful to an older student revisiting math, and to the parent or teacher answering the question at the kitchen table.
When should you use the Permutations and Combinations poster?
Ask whether swapping two choices gives a different outcome. If yes, order matters. A wall chart earns its place by being glanceable from where the work is happening, so Permutations and Combinations belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Permutations and Combinations?
Sequences and Series, Circle Theorems and Completing the Square sit alongside Permutations and Combinations in the 10th Grade set. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Sequences and SeriesCircle TheoremsCompleting the Square
Is the Permutations and Combinations poster free to download and print?
Yes. Permutations and Combinations downloads as a free PDF with no account, no email and no watermark, like everything else in the 10th Grade set. 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 and Combinations poster print at?
Permutations and 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 and Combinations loses nothing.Printing guide

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