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  • Question
  • How many words can be formed with or without meaning by using three letters out of k, l, m, n, o without repetition of alphabets.


  • Options
  • A. 60
  • B. 120
  • C. 240
  • D. 30

  • Correct Answer
  • 60 

    Explanation

    Given letters are k, l, m, n, o = 5

    number of letters to be in the words = 3

    Total number of words that can be formed from these 5 letters taken 3 at a time without repetation of letters =  5 P 3   ways .

    ?   5 P 3   =   5   x   4   x   3   =   60   words .

  • Tags: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO

    Permutation and Combination problems


    Search Results


    • 1. How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters ?

    • Options
    • A. 5^10
    • B. 10^5
    • C. 5P5
    • D. 5C5
    • Discuss
    • 2. Consider the word ROTOR. Whichever way you read it, from left to right or from right to left, you get the same word. Such a word is known as palindrome. Find the maximum possible number of 5-letter palindromes.

    • Options
    • A. 17756
    • B. 17576
    • C. 12657
    • D. 12666
    • Discuss
    • 3. In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

    • Options
    • A. 36
    • B. 25
    • C. 42
    • D. 120
    • Discuss
    • 4. In how many ways the letters of the word 'DESIGN' can be arranged so that no consonant appears at either of the two ends?

    • Options
    • A. 240
    • B. 72
    • C. 48
    • D. 36
    • Discuss
    • 5. A Committee of 5 persons is to be formed from a group of 6 gentlemen and 4 ladies. In how many ways can this be done if the committee is to be included atleast one lady?

    • Options
    • A. 123
    • B. 113
    • C. 246
    • D. 945
    • Discuss
    • 6. If (1 × 2 × 3 × 4 ........ × n) = n!, then 15! - 14! - 13! is equal to ___?

    • Options
    • A. 14 × 13 × 13!
    • B. 15 × 14 × 14!
    • C. 14 × 12 × 12!
    • D. 15 × 13 × 13!
    • Discuss
    • 7. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow ?

    • Options
    • A. 3/17
    • B. 4/21
    • C. 2/21
    • D. 5/17
    • Discuss
    • 8. There are 11 True or False questions. How many ways can these be answered ?

    • Options
    • A. 11!/2
    • B. 1024
    • C. 11!
    • D. 2048
    • Discuss
    • 9. If each vowel of the word NICELY is changed to the next letter in the English alphabetical series and each consonant is changed to the previous letter in the English alphabetical series and then the alphabets are arranged in alphabetical order, which of the following will be fourth from the left?

    • Options
    • A. M
    • B. J
    • C. B
    • D. O
    • Discuss
    • 10. The ratio of the members of blue to red balls in abag is constant. When there were 44 red balls, the number of blue balls was 36. If the number of blue balls is 54, how many red balls will be in the bag?

    • Options
    • A. 68
    • B. 32
    • C. 64
    • D. 66
    • Discuss


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