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Question

The letter's of the word LABOUR are permuted in all possible ways and the words thus formed are arranged as in a dictionary. The rank of the word LABOUR will be

A
239
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B
240
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C
241
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D
242
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Solution

The correct option is D 242
Alphabets present in the word LABOUR are (L,A,B,O,U,R)
Order of these letters according to the dictionary is A,B,L,O,R,U
With A in the beginning (A _ _ _ _ _), the remaining letters can be permuted in 5! ways.

Similarly, with B in the beginning (B _ _ _ _ _), the remaining letters can be permuted in 5! ways.

With L in the beginning (L _ _ _ _ _), the first word will be LABORU,
the second will be LABOUR.
Hence, the rank of the word LABOUR is
=5!+5!+2
=242

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