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Q. The letters of the word EARLY are permuted and all the permutations are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word EARLY is

Permutations and Combinations

Solution:

A E L R Y
A _ _ _ _ $= 4! = 24$
E A L _ _ $= 2! = 02$
E A R L Y $= 1 = 01$
$= 27.$
The number of words before EARLY $= 27 - 1 = 26$.