A person buying a personal computer system is offered a choice of three models of the basic unit, two models of keyboard, and two models of printer. how many distinct systems can be purchased?

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The number of distinct computer systems that this person can purchase is equal to twelve (12).

Given the following data:

  • Number of basic units = 3 models.
  • Number of keyboard = 2 models.
  • Number of printers = 2 models.

How to calculate the number of distinct systems.

In order to determine the number of distinct computer systems that this person can purchase, we would use a mathematical model referred to as combination.

Mathematically, combination is given by this mathematical equation:

[tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex]

Where:

  • n is the number of items.
  • r is the number of times of choosing items.

Substituting the given parameters into the formula, we have;

³C₁ × ²C₁ × ²C₁ = 3 × 2 × 2

Distinct systems = 12.

Read more on combination here: brainly.com/question/17139330