What is the rank of mississippi in dictionary

The Rank of MISSISSIPPI is 13737.

The rank of a word is the position of the word in the dictionary, if the dictionary consists of the words formed by interchanging the letters of the word.

To find the rank of a word we find the words before that word which appears earlier alphabetically.

MISSISSIPPI consists of 4 ‘s’, 4 ‘I’, 2 ‘P’ and ‘M’. The alphabetical precedence of these letters is ‘I’ ‘M’ ‘P’ and ‘S’ respectively. So, all the words starting with ‘I’ appears before MISSISSIPPI. Similarly, words starting with MII also appears before that word.

Words starting with ‘I’ = 10!/(4!*3!*2!) = 12600

Words starting with ‘MII’ = 8!/(4!*2!*2!) = 420

Words starting with ‘MIP’ = 8!/(4!*3!) = 280

Words starting with ‘MISI’ = 7!/(3!*2!*2!) = 210

Words starting with ‘MISP’ = 7!/(3!*3!) = 140

Words starting with ‘MISSII’ = 5!/(2!*2!) =30

Words starting with ‘MISSIP’ = 5!/(2!*2!) = 30

Words starting with ‘MISSISI’ = 4!/2! = 12

Words starting with ‘MISSISP’ = 4!/2! = 12

Words starting with ‘MISSISSII’ = 2!/2! =1

Words starting with ‘MISSISSIPI’ = 1

After that the next word will be ‘MISSISSIPPI’.

So, the number of words before ‘MISSISSIPPI’ = 12600+420+280+210+140+30+30+12+12+1+1 = 13736 words.

Hence, the rank of word ‘MISSISSIPPI’ is 13737 th.

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