Question:

Number of words with (or) without meaning using all the letters of the word ASSASSINATION such that all the vowels come together is?

Updated On: Aug 19, 2023
  • 38004

  • 38042

  • 50400 

  • 60200

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The Correct Option is C

Solution and Explanation

The correct answer is option (C): 50400 

Here, vowels : A,A,A,I,I,O

consonants : S,S,S,S,N,N,T

Total number of ways in which vowels come together : 

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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.