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Ten different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, the number of words which have at least one letter repeated is:

A. 69760

B. 30240

C. 99748

D. 42386

Answer: Option A

Solution(By Examveda Team)

Number of words which have at least one letter replaced,
= Total number of words - total number of words in which no letter is repeated.
= 10516P5
= 100000 − 30240
= 69760

This Question Belongs to Arithmetic Ability >> Permutation And Combination

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Comments ( 5 )

  1. Rohit Singh
    Rohit Singh :
    3 years ago

    16p5 is incorrect 10p5 should be there and value of 10p5 is 30240.

  2. Spoorthi Vaidya
    Spoorthi Vaidya :
    6 years ago

    Why it is not 10^5 -10p5

  3. Navneesh Maths
    Navneesh Maths :
    8 years ago

    10^5- 10p5 is correct solution

  4. Navneesh Maths
    Navneesh Maths :
    8 years ago

    Correct solution is 10^5- 10p5

  5. Siva
    Siva :
    8 years ago

    why we have taken 16p5 and why not 10p5

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