If the letters of the word SMALL are arranged as in a dictionary, find the rank of SMALL - Maths - Permutations and Combinations

Question

If the letters of the word SMALL are arranged as in a
dictionary, find the rank of SMALL

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

SMAllNumber of words starting with A=4!2!=4×3×2!2!=12Number of words starting with l=4!=4×3×2×1=24Number of words starting with M=4!2!=4×3×2!2!=12Next word will start with SANumber of words starting with SA=3!2!=3Number of words starting with SL=3!=6Next word will be SMALL 
Rank of SMALL=12+24+12+3+6=57   ANS
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If the letters of the word SMALL are arranged as in a dictionary, find the rank of SMALL.