Table: canadian_greek_orgs
Columns: letters
organization
nickname
founding_date
founding_university
type
canadian_chapters

Question: When καθ are the letters what is the nickname?
SQL: SELECT "nickname" FROM canadian_greek_orgs WHERE "letters" = 'ΚΑΘ'

Question: When 1873-12-25 is the founding date how many organizations are there?
SQL: SELECT COUNT("organization") FROM canadian_greek_orgs WHERE "founding_date" = '1873-12-25'

Question: When 1872-10-10 is the founding date what are the canadian chapters?
SQL: SELECT "canadian_chapters" FROM canadian_greek_orgs WHERE "founding_date" = '1872-10-10'

Question: When 1 active, 1 inactive is the canadian chapters how many founding dates are there?
SQL: SELECT COUNT("founding_date") FROM canadian_greek_orgs WHERE "canadian_chapters" = '1 Active, 1 Inactive'