The letter of the word LABOUR are permuted in all possible ways and the words thus formed are arranged as in a dictionary. What is the rank of the word LABOUR?
A.242
B.240
C.251
D.275
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c) is the answer to the question
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Answer:
A. 242
Step-by-step explanation:
Arranging LABOUR in alphabetical order we have ABLORU.
With first letter as 'A' the other letter can be arranged in 5! ways.
Similarly with first letter as 'B' the other letters can be arranged in 5! ways.
Now with 'L' as first letter, the first word will be 'LABORU' and the second word will be 'LABOUR'.
Hence the rank of the word 'LABOUR' = 5! + 5! +2=120+120+2 = 242
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