Question

a tablet has 5 choices for an operating system, 4 choices for a screen size, 6 choices for a processor, 8 choices for memory size, and 4 choices for a battery. how many ways can you customize the tablet? use the fundamental counting principle.

ways (type a whole number.)

Explanation:

Step1: Apply the Fundamental Counting Principle

The Fundamental Counting Principle states that if there are \(n_1\) ways to do one thing, \(n_2\) ways to do a second thing, \(n_3\) ways to do a third thing, and so on, then the total number of ways to do all these things together is \(n_1\times n_2\times n_3\times\cdots\).
Here, \(n_1 = 5\) (operating - system choices), \(n_2=4\) (screen - size choices), \(n_3 = 6\) (processor choices), \(n_4=8\) (memory - size choices), \(n_5 = 4\) (battery choices).
The total number of ways \(N=n_1\times n_2\times n_3\times n_4\times n_5\).

Step2: Calculate the product

Substitute the values:

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Answer:

\(3840\)