combinatorics

[kuhm-bahy-nuh-tawr-iks, -tor-, kom-buh-]
noun (used with a singular verb)
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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Example sentences
He has recently devoted several sessions of his seminar on algebraic
  combinatorics to the mathematics of juggling.
Obviously these extra combinatorics increase the degree of difficulty for the
  puzzle but they also increase the fun for solvers.
We call this method combinatorial microbiology or microbial combinatorics.
My research interests include scientific computing, parallel algorithms and
  combinatorics.
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