A stereo store is offering a special price on a complete set ofcomponents (receiver, compact disc player, speakers, cassette deck) ie one of each. A purchaser is offered a choice ofmanufacturer for each component:

Receiver: Kenwood, Onkyo, Pioneer, Sony, Sherwood

CD Player: Onkyo, Pioneer, Sony, Technics

Speakers: Boston, Infinity, Polk

Cassette Deck: Onkyo, Sony, Teac, Technics

A switch board display in the store allows a customer to hooktogether any selection of components (consisting of one of eachtype). Use the product rules to answer the followingquestions.

In how many ways can one component of each type beselected?

Question

Mathematics

Damien

13 March, 17:55

A stereo store is offering a special price on a complete set ofcomponents (receiver, compact disc player, speakers, cassette deck) ie one of each. A purchaser is offered a choice ofmanufacturer for each component:

Receiver: Kenwood, Onkyo, Pioneer, Sony, Sherwood

CD Player: Onkyo, Pioneer, Sony, Technics

Speakers: Boston, Infinity, Polk

Cassette Deck: Onkyo, Sony, Teac, Technics

A switch board display in the store allows a customer to hooktogether any selection of components (consisting of one of eachtype). Use the product rules to answer the followingquestions.

In how many ways can one component of each type beselected?

+4

Answers (1)

Know the Answer?

Jazlynn Dominguez · Answer 1

Answer: 240

Step-by-step explanation:

As per given,

Number of choices for Receiver = 5

Number of choices for CD Player = 4

Number of choices for Speakers = 3

Number of choices for Cassette Deck = 4

If a switch board display in the store allows a customer to hook together any selection of components, then by product rule

The number of ways one component of each type be selected = (Number of choices for Receiver) x (Number of choices for CD Player) x (Number of choices for Speakers) x (Number of choices for Cassette Deck)

= 5 x 4 x 3 x 4 = 240

Hence, the answer is 240.