Comments on: Navigate a Grid Using Combinations And Permutations https://betterexplained.com/articles/navigate-a-grid-using-combinations-and-permutations/ Math lessons that click Thu, 14 Oct 2021 00:00:53 +0000 hourly 1 By: Eli Ruben Barber https://betterexplained.com/articles/navigate-a-grid-using-combinations-and-permutations/#comment-568163 Thu, 14 Oct 2021 00:00:53 +0000 http://betterexplained.com/?p=205#comment-568163 You have several great posts to Combinations and Permutations. However, I didn't see one about Combinations with repetition. I.e. C(k + n - 1, n - 1)... Any chance you have thought of an intuitive way to explain this one? Great stuff!

]]> By: Emma https://betterexplained.com/articles/navigate-a-grid-using-combinations-and-permutations/#comment-568115 Wed, 09 Jun 2021 17:43:31 +0000 http://betterexplained.com/?p=205#comment-568115 Thank you so much for writing this article. This explanation finally made it click. Truly a lifesaver!

]]> By: fusi brandon https://betterexplained.com/articles/navigate-a-grid-using-combinations-and-permutations/#comment-568039 Mon, 11 Jan 2021 11:34:39 +0000 http://betterexplained.com/?p=205#comment-568039 bloody well explained Azad !! You saved me once more from the torture of reading standard literature.

Could you work your magic on the catalan numbers??

]]> By: Rahul Nair https://betterexplained.com/articles/navigate-a-grid-using-combinations-and-permutations/#comment-568021 Fri, 11 Dec 2020 07:07:45 +0000 http://betterexplained.com/?p=205#comment-568021 In reply to aashu.

it does make a huge difference aashu if you consider moving left and bottom,then you are basically moving in circles which would make amount of ways infinite.

solution: -
explanation:-

its a 8*8 chess board so you basically have a total of 16 ways. which could be either right or up, but to move from lower left corner to upper right corner you need to use all of 8 ups and 8 rights.

mathematics:-
consider there are 16 dash/ spaces (_____) where you need to fill with 8 ups and 8 rights. according to permutations the number of arrangements possible is:
16!/(8!*8!) = 16C8.

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