Artificial intelligent assistant

problem gre combination 245 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? i don't know about right answer ,but it may be........ The order of each letter in the dictionary is ABLORU. Now, with A in the beginning, the remaining letters can be permuted in 5! ways. Similarly, with B in the beginning, the remaining letters can be permuted in 5! ways. With L in the beginning, the first word will be LABORU, the second will be LABOUR

The position of the word "LABOUR" is: $5! + 5! + 2 = 242$th

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