Question

Wallace's bike lock is a five-digit code. He tells his friends that the code is $3$ prime numbers that are each $10$ apart, written in increasing order. Hearing this, Izzy laughs because now she knows Wallace's code. What is his code?

Answer 1

The number of digits is an illustration of combination, and there are 40,000 possible codes that start with a prime number that Genevieve could create

How to determine the number of digits?

The given parameters are:

Length = 5

First digit = Prime number (2, 3, 5, and 7)

This means that the first digit can be any of the 4 prime numbers, while the other four digits can be any of the 10 digits 0 - 9

So, the number of codes is

Code = 4 * 10 * 10 * 10 * 10

Evaluate

Codes = 40,000

Hence, there are 40,000 possible codes that start with a prime number that Genevieve could create