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There are 120 different ways of arranging the letters, U, K, M, I and C. All of these arrangements are listed in dictionary order, starting with CIKMU. Which position in the list does UKIMC occupy?

 Nov 21, 2019
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There are 24 ways to form "words"  when C appears first

And 24 ways to  form words whenever i  appears first

And 24 ways to form words when K comes first

And 24 ways to form words when M appears first

 

So  when U appears first, it will be in the 4 * 24 + 1 = 97th position

So we wiill have

UCIKM         UICKM    UKCIM    

UCIMK         UICMK    UKCMI

UCKIM         UIKCM    UKICM

UCKMI         UIKMC    UKIMC

UCMIK         UIMCK

UCMKI         UIMKC

 

So....it occupies  the 112th position

 

 

cool cool cool

 Nov 21, 2019

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