Etymology
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association (n.)

1530s, "action of coming together for a common purpose," from Medieval Latin associationem (nominative associatio), noun of action from past-participle stem of associare "join with," from assimilated form of ad "to" (see ad-) + sociare "unite with," from socius "companion, ally" (from PIE *sokw-yo-, suffixed form of root *sekw- (1) "to follow"). Meaning "an organized body of persons with a common purpose" is from 1650s. Meaning "mental connection" is from 1680s; that of "quality or thing called to mind by something else" is from 1810.

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soccer (n.)
1889, socca, later socker (1891), soccer (1895), originally university slang (with jocular formation -er (3)), from a shortened form of Assoc., abbreviation of association in Football Association (as opposed to Rugby football); compare rugger. An unusual method of formation, but those who did it perhaps shied away from making a name out of the first three letters of Assoc. Compare 1890s English schoolboy slang leccer, from lecture (n.).
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*sekw- (1)

Proto-Indo-European root meaning "to follow."

It forms all or part of: associate; association; consequence; consequent; dissociate; ensue; execute; extrinsic; intrinsic; obsequious; persecute; persecution; prosecute; pursue; second (adj.) "next after first;" second (n.) "one-sixtieth of a minute;" sect; secundine; segue; sequacious; sequel; sequence; sequester; sociable; social; society; socio-; subsequent; sue; suit; suite; suitor; tocsin.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit sacate "accompanies, follows;" Avestan hacaiti, Greek hepesthai "to follow;" Latin sequi "to follow, come after," secundus "second, the following;" Lithuanian seku, sekti "to follow;" Old Irish sechim "I follow."

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companionship (n.)

"fellowship, association, company," 1540s, from companion + -ship.

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associative (adj.)
"resulting from association," 1804, from associate (v.) + -ive.
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Fannie Mae (n.)
1948, from FNMA, acronym of "Federal National Mortgage Association," established 1938.
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YWCA (n.)
also Y.W.C.A., 1874, initialism (acronym) of Young Women's Christian Association.
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affiliate (adj.)
"taken into close association," 1858, from affiliate (v.).
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YMCA (n.)
also Y.M.C.A., 1868, initialism (acronym) of Young Men's Christian Association.
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disassociate (v.)

"dissociate, sever from association," c. 1600, from dis- + associate (v.). Related: Disassociated; disassociating.

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