Question:

Find out the rank of MONDAY in English dictionary if all alphabets are arranged in order?

Updated On: Oct 25, 2024
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Correct Answer: 327

Solution and Explanation

The correct answer is 327.

\(\therefore\) Rank = \((2\times5!+3\times 4!+2\times 3!+1\times2!)+1\)
= 240+72+12+2+1 
= 327

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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.