What is the rank of the word "BALL" in a dictionary that contains all permutation of the word "BALL" ?
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Given : word "BALL"
To Find : rank of the word "BALL"
Rank of BALL is the position of word BALL when all permutations of the word are written in alphabetical order.
BALL has 4 letters
L = 2
Hence total Possible words = 4! /2! = 12
Starting with A = 3!/2! = 3
Then comes BALL
Rank of BALL = 3 + 1 = 4
Rank of BALL = 4
ABLL , ALBL , ALLB , BALL , BLAL , BLLA , LABL , LALB , LBAL , LBLA , LLAB , LLBB
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