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How many ways letters of word ‘CHEKOSLOVAKIA’ can be arranged so that “SL” always comes together and ‘H’ and ‘I’ at end?

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In how many ways the letters of the word ‘CHEKOSLOVAKIA’ can be arranged such that “SL” always comes together and ‘H’ and ‘I’ at the end places?

posted Aug 5, 2018 by anonymous

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1 Answer

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CEKO(SL)OVAKA ===> 10!/(2!*2!*2!) = 453600
(H)CEKO(SL)OVAKA(I) ===> 453600*2 = 907200.

answer Aug 11, 2018 by Tejas Naik
SL comes together but their arrangement can also changed. so shouldn't it be multiply by 2 also?
I assumed that 'SL' have to be there in the given order. So you are right if 'LS' is allowed.