You are ordering a new home theater system that consists of

You are ordering a new home theater system that consists of a TV, surround sound system, and DVD player. You can choose from 22 different TVs, 6 types of surround sound systems, and 22 types of DVD players. How many different home theater systems can you build?

Solution

AS WE HAVE TO MAKE DIFFERENT HOME THEATRE AND HOME THEATRE CONSIST OF ONE TV ONE DVD AND ONE SURROUND SYSTEM.

SO EACH HOME THEATER CONSIST OF EACH 3

AS THE LEAST NUMBER IS OF 6 SURROUND SYSTEM

SO WE CAN MAKE 6 SURROUND SYSTEM

BUT TOTAL WAYS OF MAKING 6 SYSTEM IS

22C6*6C6*22C6( AS WE HAVE 22 TV AND DVD BUT HAVE TO CHOSE ONLY 6) = 5567099769