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Anthony got a new iPhone. He needs to create a 4-digit passcode. How many passcodes can be created if REPETITION OF DIGITS IS ALLOWED? Please show your work.

User Eezo
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Answer:

If repetition of digits is allowed, there are 10,000 possible passcodes.

Explanation:

We have 4 tasks - we have to find a number for each digit. We can only have numbers below 10 for each digit, since we can't have a number with two digits in one space.

Possibilities for first space : 10 (numbers from 0 to 9)

Possibilities for second space : 10 (since they can repeat)

Possibilities for third place : 10

Possibilities for fourth place : 10

10 × 10 × 10 × 10 = 10,000

If repetition of digits is allowed, there are 10,000 possible passcodes.

User Flyingace
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