Chapter 8.5, Problem 14E

To determine

To calculate: number of possible system configuration.

Answer to Problem 14E

The number of possible system configuration is $\underset{\_}{200}$ .

Explanation of Solution

Given information:

For system configuration, out of four amplifiers customer can select one amplifier, out of ten receivers customer can select one receiver and out of five speaker model customer can select one speaker.

Formula used:

Fundamental principle of counting:

If three events can occur in $w_1,w_2$ and $w_3$ ways than three events together can occur in $w_1\times w_2\times w_3$ ways.

Calculation:

Number of way in which one amplifier can be selected from four amplifiers say $a=4$

Number of way in which one receiver can be selected from ten receivers say $r=10$

And number of way in which one speaker can be selected from five speakers say $s=5$

So using fundamental principle of counting

Total number of ways a customer can select amplifier , receiver and a speaker is

  $=a\times r\times s$

  $=4\times 10\times 5$

  $=200$

Hence number of possible system configuration is $\underset{\_}{200}$ .