The fewest items of clothes to never repeat an outfit.

[00:00] Is it possible to mathematically calculate the 

[00:05] to own so you never repeat an outfit for 

[00:14] which is why for this video, really put in the 

[00:20] so long. But on that list, when I was flicking 

[00:26] So, I followed that and it was a post on the math 

[00:33] original poster had deleted it and then deleted 

[00:39] to work out why I'd saved that URL. But looking at 

[00:46] poster was asking how many items of clothing would 

[00:53] they would never repeat an outfit by combining 

[00:57] choose to believe it said because that is a 

[01:03] first mathematical thought was regret. Maths 

[01:09] teacher. Because if I came across this when I was 

[01:14] 31 ties and like numbered them on the back and 

[01:19] had 12 shirts and worn them. Okay, washing. Let's 

[01:25] different shirt per month and then I would have 

[01:30] and I would have found that so funny and I now 

[01:36] a great career. And I was like, that would have 

[01:40] inefficient because 31 ties times 12 shirts is 372 

[01:50] We'll break down the case for exactly 365 outfits. 

[02:00] both prime numbers. That's as far as you can break 

[02:07] maybe shirts, and then five of something else. 

[02:13] that would be like five trousers. You can choose 

[02:19] 365 outfits. Ah, leapers though, they're 366 days. 

[02:27] So that would be uh 2 * 3 * 61. So, two trousers, 

[02:37] And there's an outfit that only comes out once 

[02:42] years, go naked. That said, uh, for all of these 

[02:50] some categories do and don't lend themselves to 

[02:54] could probably get away with the null tie, maybe 

[03:02] choosing to not wear something is also an option. 

[03:06] factors and then you've got to have categories 

[03:12] values. And you might choose one of those options 

[03:17] talk about efficiency. Here's the thing. We don't 

[03:21] enough to cover a year surplus, that's fine. We 

[03:29] And the 365 one, that's 78 items of clothing if 

[03:35] that's actually better. That's come down to 66 

[03:43] 12 shirts, that's a mere 43 items of 

[03:49] number of combinations, we can reduce potentially 

[03:54] we'll need to do is just sum the prime factors for 

[04:04] smallest, which I did. And I put them all in a 

[04:13] what this looks like as you increase the number 

[04:18] these spikes at the top. And there's no rhyme or 

[04:25] even the in between ones. There's just not much of 

[04:31] primes defy nice neat patterns. So the easiest 

[04:40] Going to select everything. Sort by number of 

[04:49] not going to beat 17 items. In fact, there are 

[04:54] sweet. So, oh my goodness, you can just have two 

[05:02] Or you could have fewer categories here. Maybe you 

[05:06] and get 405 outfits with only five categories. 

[05:14] we kind of want to maximize outfits. Although, as 

[05:19] conditions. We want to minimize items, but we also 

[05:27] because then you've got fewer different things you 

[05:32] do we want to minimize the biggest number in one 

[05:37] have a few more items, you could down here do 

[05:44] got to very three different categories. But 

[05:51] just reached the end of maths and the beginning of 

[05:58] in the description below if you want to have 

[06:01] I think I can't carry on this analysis any 

[06:07] I've got to discover what are the practicalities 

[06:13] can then be swapped to get a certain number of 

[06:19] than your outfits? It's me business mat. And that 

[06:24] change. In fact, regular mat, can you go grab the 

[06:30] held up by magnets. Yes, thanks to displate. 

[06:37] magnet system. You can easily switch between the 

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[06:49] display option for your own artwork, but we 

[06:55] that we wanted here at Standup Matts. It was 

[06:59] whereas camera person Alex picked this. I think 

[07:06] thanks, Regular Matt. He's definitely standing 

[07:12] this plate have a Black Friday deal for up to two 

[07:20] more than four plates, 46% off. That's basically 

[07:26] metal plate. if you use the code standup or click 

[07:32] QR code on the screen somewhere. And that discount 

[07:39] an extra 3D effect that really makes them pop. 

[07:46] up for a tiered structure of discounts. And thank 

[07:53] Okay. And can we get the original? Thank you. 

[08:03] high street and see what clothes cost. So, let's 

[08:09] person is, we can use me as a substitute. And we 

[08:15] So, I figure I'll go to Oxford Street. This is one 

[08:21] in the world, definitely in the UK. And I'm going 

[08:27] fashion and ethical limitations and see if I 

[08:34] pretty quickly once you're dealing with a serious 

[08:39] you're not getting that for under £30. And if you 

[08:45] of £50. For a nice one, you're touching 100 quid. 

[08:52] had to get multiple jumpers or something, I'm 

[08:58] the sock loophole. Pack of five socks from John 

[09:06] that count? Socks. H. Either way, Small Things 

[09:11] it count as a proper outfit. Okay, some of you may 

[09:16] problem of style. So, I could just, you know, this 

[09:23] for my everyday wear, or I could try and shop to 

[09:29] do is not just spend money unnecessarily. So, 

[09:34] to wear, or I'll buy stuff that I figure I 

[09:42] if you're shopping for the math teacher in your 

[09:47] Okay, I've hit math teacher P here with Oh, 

[09:55] could easily rack up, you know, as many as I need 

[10:05] 23 items, but only three categories. So, I could 

[10:11] I could do maybe socks. 385 outfits. What I would 

[10:22] still a lot in the one category though where I can 

[10:27] talking 375 outfits. But now I got to find like 

[10:33] five shirts, five socks. I mean socks feel like 

[10:44] We'll see. Do I go for fewer categories but a 

[10:50] fewer in each one? I mean, the one thing that's 

[10:55] tie and at least two of these. Okay. In 

[11:03] I only got five ties, and I could have got them as 

[11:10] uh have more visual difference and more likely for 

[11:14] They averaged me £12 and I think like4 each. 

[11:21] went for shirts and the multiack shirts were the 

[11:29] shirts. I think the idea of changing categories. 

[11:35] fact that I pay basically the same for the shirts 

[11:40] combinations go up. So I think in the end that's 

[11:46] go for the sock loophole. I'm going to get the 

[11:51] this cost down. Uh and then finally, hats. 

[11:56] wearing the null hat. I'm going to allow that. And 

[12:02] that's the plan. Total will appear on the screen 

[12:09] to wear 375 different outfits. But, of course, 

[12:17] I mean, to do that, it would take a whole 

[12:22] a elaborate stop motion catwalk sequence, which 

[12:56] Take me home.

[13:31] We ran out of time. We We literally got kicked out 

[13:38] no. So, I mean, I was going to catch the ball. We 

[13:43] do now, I guess, is just keep going as planned 

[14:18] And that's how it's done. Never wearing 

[14:28] we can all agree it was worth it. Hope you 

[14:33] we missed one. If you can, I saw it when I 

[14:38] uh, comment below. I'll be very impressed. So, 

[14:43] can own and not repeat outfit for a year is nine. 

[14:49] which is the one with the most categories for any 

[14:55] you put a null in every single category, you got 

[15:01] then you got a single three. So that's two items 

[15:06] actually you can get 512 outfits out of nine items 

[15:14] you wear it or you don't. If you can find nine 

[15:19] to just not wear it, you can't own other items. 

[15:26] uh 512. Two to the nine. There you are. Nine 

[15:32] practically as I discovered because not all 

[15:37] want to also balance off minimizing the number 

[15:42] trousers and jackets it gets so expensive. So I 

[15:47] if you want to go your entire life never wearing 

[15:56] You got nine categories with three each. single 

[16:03] individual outfits. That's over 107 years. I mean, 

[16:11] life and as they wear out. I guess you can replace 

[16:17] Anyway, combinotaurics, eh? Woo! Things things 

[16:23] a century of clothes. There you are. Um, that's 

[16:27] If you do want any of the clothes from this video, 

[16:33] Now, there's a Christmas gift or you if you are 

[16:39] on eBay. All the money goes to Water Aid or for 

[16:44] the shirts. I will wash them all. That's not you 

[16:50] yourself or for the math teacher in your life. And 

[16:55] Yes, we could have done the stop motion better. 

[17:00] do the behind the scenes on Patreon cuz 

[17:05] I don't mind putting them on Patreon. But 

[17:09] so the content's out there for everyone, the 

[17:14] much for watching. Uh happy Christmas shopping