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Noun product  has 6 senses
merchandise, wares, product - commodities offered for sale; "good business depends on having good merchandise"; "that store offers a variety of products"--1 is a kind of commodity, trade goods, goods
 --1 is a part of mercantile establishment, retail store, sales outlet, outlet
 --1 has particulars:
 |  | cargo, lading, freight, load, loading, payload, shipment, consignment; contraband; feature; irregular, second; line, product line, line of products, line of merchandise, business line, line of business; number; refill; release; schlock, shlock, dreck; software package, software product; stock, inventory; top of the line; yard goods, piece goods | 
product, production - an artifact that has been created by someone or some process; "they improve their product every year"; "they export most of their agricultural production"--2 is a kind of creation
 --2 has particulars:
 |  | book, volume; book; by-product, byproduct, spin-off; deliverable; end product, output; inspiration, brainchild; job; magazine; newspaper, paper; output, outturn, turnout; turnery; work, piece of work; yield, fruit | 
product - a consequence of someone's efforts or of a particular set of circumstances; "skill is the product of hours of practice"; "his reaction was the product of hunger and fatigue"--3 is a kind of consequence, effect, outcome, result, event, issue, upshot
 
product - a chemical substance formed as a result of a chemical reaction; "a product of lime and nitric acid"--4 is a kind of chemical
 --4 has particulars: hydrolysate; filtrate; culture
 
product, mathematical product - a quantity obtained by multiplication; "the product of 2 and 3 is 6"--5 is a kind of quantity
 --5 has particulars: factorial; multiple
 
intersection, product, cartesian product - the set of elements common to two or more sets; "the set of red hats is the intersection of the set of hats and the set of red things"--6 is a kind of set
 
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