Question:

Rank of the word PUBLIC is?

Updated On: Jun 19, 2025
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Correct Answer: 582

Solution and Explanation

The rank of the word "PUBLIC" is:
= (4x5! + 4x4! + 0x3! + 2x2! + 1x1! + 0x0!) + 1
= ((4x120) + 96 + 0 + 4 + 1 + 0) + 1
= 480 + 100 + 2
= 582

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Concepts Used:

Permutations and Combinations

Permutation:

Permutation is the method or the act of arranging members of a set into an order or a sequence. 

  • In the process of rearranging the numbers, subsets of sets are created to determine all possible arrangement sequences of a single data point. 
  • A permutation is used in many events of daily life. It is used for a list of data where the data order matters.

Combination:

Combination is the method of forming subsets by selecting data from a larger set in a way that the selection order does not matter.

  • Combination refers to the combination of about n things taken k at a time without any repetition.
  • The combination is used for a group of data where the order of data does not matter.