Question 162584
<pre><font size = 4 color = "indigo"><b>
0,1,2,3,4,5,6,7 consists of 8 different digits.

Let's take a randomly selected sample 5-digit sequence:

67062

How many choices of digits are there to go where the 
first 6 in that sample 67062 is?  Answer: 8

How many choices of digits are there to go where the 
7 in that sample 67062 is?  Answer: 8

How many choices of digits are there to go where the 
0 in that sample 67062 is?  Answer: 8

How many choices of digits are there to go where the 
second 6 in that sample 67062 is?  Answer: 8

How many choices of digits are there to go where the 
2 in that sample 67062 is?  Answer: 8

So that's 8x8x8x8x8 = 32,768 ways.  Choice (d).

Edwin</pre>