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<p>[QUOTE="eddiespin, post: 435010, member: 4920"]The factorials are. I understand the equations and how you worked through them and arrived at those numbers. But I'm still a little stuck on that first sentence of yours and the explanation in your previous reply. Let me just take you through how I have it, and I'll bet you can clear this up. Let's just work this example for the 8-digit serials, as the principles, of course, are the same.</p><p><br /></p><p>For the combinations (sequences) in an 8-digit serial, that's 10 to the 8th, or, as you say, 100,000,000. For the 1st 4-digit sequence, it's 10 to the 4th, or 10,000. Both of these of course are counting the all-zero sequences. </p><p><br /></p><p>OK, that's where I'm stuck. In effect, to add the next 4-digit sequence, and complete the 8-digit "radar," you're simply multiplying by 10. Or, you're saying, the possible radars in an 8-digit sequence is 10 to the 5th. Now, I don't care how stupid I might look, Numbers, just explain that...<i>why</i> can you say that? You know how it is...I <i>gotsta </i>know! <img src="styles/default/xenforo/clear.png" class="mceSmilieSprite mceSmilie9" alt=":eek:" unselectable="on" unselectable="on" /></p><p><br /></p><p><b> EDIT</b>: Wait a minute, I think I figured it out, the second 4-digit sequence is just like adding one more digit because given the first 4-digit sequence the second sequence can only go one way! So that boils down to a 10 to the 5th-power sequence for these 8-digit radars! <img src="styles/default/xenforo/clear.png" class="mceSmilieSprite mceSmilie1" alt=":)" unselectable="on" unselectable="on" /></p><p><br /></p><p><b>EDIT</b>: Extra credit - applies to radars (12344321) <i>and </i>repeaters (12341234). In fact, any series where the 2nd 4-digit sequence is dependent on the 1st.[/QUOTE]</p><p><br /></p>
[QUOTE="eddiespin, post: 435010, member: 4920"]The factorials are. I understand the equations and how you worked through them and arrived at those numbers. But I'm still a little stuck on that first sentence of yours and the explanation in your previous reply. Let me just take you through how I have it, and I'll bet you can clear this up. Let's just work this example for the 8-digit serials, as the principles, of course, are the same. For the combinations (sequences) in an 8-digit serial, that's 10 to the 8th, or, as you say, 100,000,000. For the 1st 4-digit sequence, it's 10 to the 4th, or 10,000. Both of these of course are counting the all-zero sequences. OK, that's where I'm stuck. In effect, to add the next 4-digit sequence, and complete the 8-digit "radar," you're simply multiplying by 10. Or, you're saying, the possible radars in an 8-digit sequence is 10 to the 5th. Now, I don't care how stupid I might look, Numbers, just explain that...[I]why[/I] can you say that? You know how it is...I [I]gotsta [/I]know! :o [B] EDIT[/B]: Wait a minute, I think I figured it out, the second 4-digit sequence is just like adding one more digit because given the first 4-digit sequence the second sequence can only go one way! So that boils down to a 10 to the 5th-power sequence for these 8-digit radars! :) [B]EDIT[/B]: Extra credit - applies to radars (12344321) [I]and [/I]repeaters (12341234). In fact, any series where the 2nd 4-digit sequence is dependent on the 1st.[/QUOTE]
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