Genevieve is in charge of creating a five-digit code to lock and unlock a secure cabinet. she can use any digit from 0 through 9

Question

2 years ago

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Genevieve is in charge of creating a five-digit code to lock and unlock a secure cabinet. she can use any digit from 0 through 9

, and she can use each digit as many times as she wants. she knows she wants to start the code with a prime number. how many possible codes that start with a prime number could genevieve create? 40,000 codes 50,000 codes 400,000 codes 500,000 codes

Mathematics

1 answer:

solniwko [45] · Answer 1 · 2023-06-30T18:43:10+03:00

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

<h3>How to determine the number of digits?</h3>

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