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Direct linkLockwood, Elise; Reed, Zackery; Caughman, John S. – International Journal of Research in Undergraduate Mathematics Education, 2017
The multiplication principle serves as a cornerstone in enumerative combinatorics. The principle underpins many basic counting formulas and provides students with a critical element of combinatorial justification. Given its importance, the way in which it is presented in textbooks is surprisingly varied. In this paper, we analyze a number of…
Descriptors: Multiplication, Textbooks, Mathematics Instruction, Mathematical Concepts
Peer reviewedSchattschneider, Doris – College Mathematics Journal, 1991
Provided are examples from many domains of mathematics that illustrate the Fubini Principle in its discrete version: the value of a summation over a rectangular array is independent of the order of summation. Included are: counting using partitions as in proof by pictures, combinatorial arguments, indirect counting as in the inclusion-exclusion…
Descriptors: College Mathematics, Computation, Higher Education, Learning Activities
