Question

you are trying to guess the passcode to a phone. the passcode consists of three digits, and each digit can be any of the 10 numbers from 0-9.

how many different combinations of a 3-digit passcode are possible?

a.) 1,000
b.) 90
c.) 900
d.) 300

Explanation:

Identify the number of choices for each digit

$$
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$$

Apply the Fundamental Counting Principle

$$ \text{Total combinations} = 10 \times 10 \times 10 = 10^3 $$

Calculate the final value

$$ 10^3 = 1,000 $$

Answer:

• a.) 1,000 (Correct answer)
• b.) 90
• c.) 900
• d.) 300