SELECT count(*) ,  t1.name FROM manufacturer AS t1 JOIN furniture_manufacte AS t2 ON t1.manufacturer_id  =  t2.manufacturer_id GROUP BY t1.manufacturer_id
Find the number of funiture types produced by each manufacturer as well as the company names.
[Schema (values) (types)]: | manufacturer |  manufacturer : manufacturer_id (text) , open_year (number) , name (number) , num_of_factories (text) , num_of_shops (number) | furniture : furniture_id (text) , name (number) , num_of_component (number) , market_rate (text) | furniture_manufacte : manufacturer_id (text) , furniture_id (number) , price_in_dollar (number);