Arranjos

Arranjos is the plural of arranjo, a Portuguese term with several related meanings. It can designate an arrangement, layout, or setup of objects, people, or events, as well as specific kinds of configurations in different fields.

In music, an arranjo is a musical arrangement: a version of a piece adapted for different instruments or voices, often involving changes in harmony, tempo, orchestration, or vocal parts while preserving the original melody or structure.

In floristry and decoration, arranjos are flower arrangements designed for display, ceremonies, or gifts. They combine flowers, foliage, containers, and styling to achieve a decorative composition, with attention to color, balance, and form.

In mathematics and combinatorics, an arranjo (often translated as arrangement) is a selection of r elements from a set of n elements with order considered. When repetition is not allowed, the number of arranjos is nPr = n!/(n−r)!. When repetition is allowed, it is n^r. The term is used alongside permutações and combinações, with regional usage varying.

In everyday language, arranjos conveys the sense of planning or deals: arrangements for meetings, logistics, or events, as well as political or strategic arrangements (arranjos) or family arrangements (arranjos familiares). The word implies deliberate planning and organization rather than randomness.

Etymology: arranjo comes from the Portuguese verb arranjar, meaning to arrange, fix, organize, or contrive, with the noun referring to the result of such action.