Permutations

  • This lyric written, performed, and recorded in 2018 by Larry Lesser (The University of Texas at El Paso) won honorable mention in the 2019 A-mu-sing contest.  The song helps launch learning about permutations by showing how many ways n distinct objects can be ordered for the first non-trivial case (n = 3), modelling the systematic strategy of listing orderings in alphabetical order to make sure none are missed.  (Before using the song, students can be asked for their prediction – many will say 3 or 9 instead of 6.  After using the song, students can be asked to find the answer for n = 4, which is just small enough to generate by hand.)  The song also introduces vocabulary (“order”, “permuted”, “sort”) commonly used in this context.

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  • Free statistical calculators online.  Our basic statistical calculators will help you in common tasks you might encounter and deal mostly with simple distributions. 

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  • A pun to aid in discussing Stirling's approximation.  The joke was written by Larry Lesser from The University of Texas at El Paso in January 2018.

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  • A poem to develop an understanding of permutations. A question like "Why is the word importunate used in a poem about a permutation?" will help the conversation. The poem was written by Larry Lesser from The University of Texas at El Paso in 2017.
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  • A joke to be used in discussing permutations and combinations in a probability course. The Joke was written in 2016 by Judah Lesser an AP statistics student from El Paso, Texas.
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  • This tutorial explains the theory and use of two-way ANOVA and demonstrates it with an example on final exam scores. Data is given as well as SPSS and Minitab code.
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  • This program returns a list of all the permutations of the set {1, 2, ..., n}. It allows you to select the given output, copy it, and paste it into a Word or Excel document.
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  • In this applet, A and B are subsets of a universal set S. The list is given of the 16 different subsets of S that can be constructed from A and B using the basic set operations of union, intersection, and complement. The selected subset is colored red in the Venn diagram on the right.
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  • Gives an overview of variables, classifications, measurements, relations, and other basic statistical concepts. Also contains two animated graphs.
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