Question

8. Elaine is building a home theater system consisting of a tuner, an optical disc player, speakers, and a high-definition TV. If she can select from four tuners, eight speakers, three optical disc players, and five TV's, in how many ways can she configure her system?

Answer 1

Here number of Turners are 4, number of speakers is so are 8, number of optical disc players ase 3, Number of TV's ase S. Also, a system consists of a turner, an optical disc player, speakers, and a high-definition TV. So, Illumber of ways (Mumber of choosing of configuring the turner) & (number of system is choosing speakes)*(Number of choosing optical disc) player) f number of choosing TV) since there four turners so, number of ways of choosing turner is 4, similarly number of ways of choosing ophical disc player is 3 number of ways of choosing speaker is 8 and number of ways of choosing TV is s. So, lemborder of ways (4)(8)(3)(5) = 480 of configuring the system is So, number of ways she can configuse the system is 480