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Question

Mathematics Question on Permutations

The letters 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" is

A

240

B

241

C

242

D

243

Answer

242

Explanation

Solution

ABLORU: LABOUR | 2.5!+0.41+0.3!+0.2!+1.1!+1 = 242