Question:

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

Updated On: Jul 7, 2022
  • 240
  • 241
  • 242
  • 243
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The Correct Option is C

Solution and Explanation

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

Concepts Used:

Permutations

A permutation is an arrangement of multiple objects in a particular order taken a few or all at a time. The formula for permutation is as follows:

\(^nP_r = \frac{n!}{(n-r)!}\)

 nPr = permutation

 n = total number of objects

 r = number of objects selected

Types of Permutation

  • Permutation of n different things where repeating is not allowed
  • Permutation of n different things where repeating is allowed
  • Permutation of similar kinds or duplicate objects