Answer to Question #164704 in Combinatorics | Number Theory for Manatad

Question

To buy a computer system, a customer can choose one of 4 monitors, one of 2 keyboards, one of 4 computers and one of 3 printers. Determine the number of possible systems that a customer can choose from.

Answer 1

Solution:

Number of monitors available = 4

Number of keyboards available = 2

Number of computers available = 4

Number of printers available = 3

A customer needs to select only one item out of their respective numbers.

The number of possible systems that a customer can choose from are $^4 C_1 \times ^2 C_1\times ^4 C_1\times^3 C_1$

$=4\times2\times4\times3$ [$\because\ ^n C_1=n$ ]

$=96$

Thus, final answer is 96.