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== Combinations ==
[[File:Pascals_triangle_30_lines.png|thumb|upright=1.25|Expansion of the first 30 rows of Pascal's triangle]]
A second useful application of Pascal's triangle is in the calculation of [[combination]]s. The number of combinations of <math>n</math> items taken <math>k</math> at a time, i.e. the number of subsets of <math>k</math> elements from among <math>n</math> elements, can be found by the equation
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