Abstract
In this paper, basic ideas about the partitions of nonintersecting paths are introduced. Different partitions are associated using intersecting and nonintersecting paths by using permutations and combinations. We also see the trails of various numbers of n-tuples of nonintersecting curves connecting two groups of n vertices. This can be given by determinant methods. This paper aims to apply Italians to get nonintersecting curves such that the endpoints of the curves are given in a known domain.
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