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# Dictionary Ranking (TOMATO Subjective 50)

Problem: All the permutation of the letters $$a,b,c,d,e$$ are written down and arranged in alphabetical order as in dictionary. Thus the arrangement $$abcde$$ is in first position and $$abced$$ is in second position. What is the position of the word $$debac$$?

Solution: According to the arrangement in a dictionary, number of words:

i) starting with $$a$$ = 4!

ii) starting with $$b$$ = 4!

October 30, 2016