From mboxrd@z Thu Jan 1 00:00:00 1970 Path: news.gmane.io!.POSTED.blaine.gmane.org!not-for-mail From: Emanuel Berg Newsgroups: gmane.emacs.help Subject: Re: puzzle with string permutations [photo] Date: Tue, 07 Jun 2022 16:18:43 +0200 Message-ID: <8735ggr1z0.fsf@dataswamp.org> References: <87r141rn8n.fsf@dataswamp.org> <87wndtrlpg.fsf@mbork.pl> <87k09ssycf.fsf@dataswamp.org> <87fskgsy4c.fsf@dataswamp.org> <87bkv4sxnu.fsf@dataswamp.org> <87bkv4r35k.fsf@dataswamp.org> Mime-Version: 1.0 Content-Type: text/plain Injection-Info: ciao.gmane.io; posting-host="blaine.gmane.org:116.202.254.214"; logging-data="34064"; mail-complaints-to="usenet@ciao.gmane.io" User-Agent: Gnus/5.13 (Gnus v5.13) Emacs/29.0.50 (gnu/linux) To: help-gnu-emacs@gnu.org Cancel-Lock: sha1:6BMZDwClpj1yalpDHwmBlebkeYQ= Original-X-From: help-gnu-emacs-bounces+geh-help-gnu-emacs=m.gmane-mx.org@gnu.org Tue Jun 07 16:19:24 2022 Return-path: Envelope-to: geh-help-gnu-emacs@m.gmane-mx.org Original-Received: from lists.gnu.org ([209.51.188.17]) by ciao.gmane.io with esmtps (TLS1.2:ECDHE_RSA_AES_256_GCM_SHA384:256) (Exim 4.92) (envelope-from ) id 1nya3I-0008bE-1a for geh-help-gnu-emacs@m.gmane-mx.org; Tue, 07 Jun 2022 16:19:24 +0200 Original-Received: from localhost ([::1]:38488 helo=lists1p.gnu.org) by lists.gnu.org with esmtp (Exim 4.90_1) (envelope-from ) id 1nya3G-0006MJ-7t for geh-help-gnu-emacs@m.gmane-mx.org; Tue, 07 Jun 2022 10:19:22 -0400 Original-Received: from eggs.gnu.org ([2001:470:142:3::10]:50102) by lists.gnu.org with esmtps (TLS1.2:ECDHE_RSA_AES_256_GCM_SHA384:256) (Exim 4.90_1) (envelope-from ) id 1nya2q-0006Lo-HQ for help-gnu-emacs@gnu.org; Tue, 07 Jun 2022 10:18:56 -0400 Original-Received: from ciao.gmane.io ([116.202.254.214]:56358) by eggs.gnu.org with esmtps (TLS1.2:ECDHE_RSA_AES_256_GCM_SHA384:256) (Exim 4.90_1) (envelope-from ) id 1nya2o-0001XQ-HT for help-gnu-emacs@gnu.org; Tue, 07 Jun 2022 10:18:56 -0400 Original-Received: from list by ciao.gmane.io with local (Exim 4.92) (envelope-from ) id 1nya2k-0007eV-Hx for help-gnu-emacs@gnu.org; Tue, 07 Jun 2022 16:18:50 +0200 X-Injected-Via-Gmane: http://gmane.org/ Mail-Followup-To: help-gnu-emacs@gnu.org Mail-Copies-To: never Received-SPF: pass client-ip=116.202.254.214; envelope-from=geh-help-gnu-emacs@m.gmane-mx.org; helo=ciao.gmane.io X-Spam_score_int: -16 X-Spam_score: -1.7 X-Spam_bar: - X-Spam_report: (-1.7 / 5.0 requ) BAYES_00=-1.9, HEADER_FROM_DIFFERENT_DOMAINS=0.249, SPF_HELO_NONE=0.001, SPF_PASS=-0.001, T_SCC_BODY_TEXT_LINE=-0.01 autolearn=no autolearn_force=no X-Spam_action: no action X-BeenThere: help-gnu-emacs@gnu.org X-Mailman-Version: 2.1.29 Precedence: list List-Id: Users list for the GNU Emacs text editor List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , Errors-To: help-gnu-emacs-bounces+geh-help-gnu-emacs=m.gmane-mx.org@gnu.org Original-Sender: "help-gnu-emacs" Xref: news.gmane.io gmane.emacs.help:137515 Archived-At: > to do it without counting I think the formula is > > n!/(n - r)! > > where n is the size of the set - here 26, as > > (length (alphabet t)) ; 26 > > and r is the number of items to be picked and arranged, or > here the length of the word. It doesn't work exactly like that with strings, since for example the scrambled word "ogod" is actually, here, treated as o_1 g o_2 d Yet the words g o_1 o_2 d g o_2 o_1 d are duplicates. So the n, the set or alphabet is A = { d g o } Yet it's stipulated that o, and only o, must be used twice! Maybe there is a formula for that as well! Divide by 2 for all chars that appear twice? But then how to generalize so it scales for chars that appear thrice and so on? The truth is out there ... -- underground experts united https://dataswamp.org/~incal