The code for a safe is a six-digit sequence, for example 013255. How many different (can repeat numbers) codes can you get? How many different codes (can repeat numbers) of even numbers are there?

1,000,000 codes

500,000 even

Step-by-step explanation:

1.

There are 10 different options, 0 - 9, for every digit in the 6-digit sequence;

Since numbers can be repeated, it is very simple;

Imagine a tree diagram, there will 10 branches, since there are 10 options for any given digit, and there will 6 layers, since there are 6 digits in thr sequence;

Hence, the number of possible codes will be:

(10)⁶ = 1,000,000

The way this particular scenario works out is, every number between 0 and 999,999 is a possibility;

There are 1,000,000 numbers between 0 and 999,999 and hence this many possibilities;

This is another way of finding the number of codes.

2.

Consider 0 to 9, 0, 2, 4, 6 and 8 are even, and all others are odd;

There are 5 even in total and 5 odd;

Similarly between 0 and 99, 50 will be even and 50 will be odd;

Therefore between 0 and 999,999, 500,000 will be even and 500,000 will be odd;

Its ½ and ½.