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  • Question
  • In how many different ways can the letters of the word 'HAPPYHOLI' be arranged?


  • Options
  • A. 89,972
  • B. 90,720
  • C. 72,000
  • D. 81,000

  • Correct Answer
  • 90,720 

    Explanation

    The given word HAPPYHOLI has 9 letters

    These 9 letters can e arranged in 9! ways.

    But here in the given word letters H & P are repeated twice each

    Therefore, Number of ways these 9 letters can be arranged is 

    9 ! 2 !   x   2 !   =   9   x   8   x   7   x   6   x   5   x   4   x   3 2   =   90 , 720   ways .

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

    Permutation and Combination problems


    Search Results


    • 1. From a total of six men and four ladies a committee of three is to be formed. If Mrs. X is not willing to join the committee in which Mr. Y is a member, whereas Mr.Y is willing to join the committee only if Mrs Z is included, how many such committee are possible?

    • Options
    • A. 91
    • B. 104
    • C. 109
    • D. 98
    • Discuss
    • 2. A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?

    • Options
    • A. 126
    • B. 120
    • C. 146
    • D. 156
    • Discuss
    • 3. How many arrangements can be made out of the letters of the word DRAUGHT, the vowels never beings separated?

    • Options
    • A. 1440
    • B. 720
    • C. 360
    • D. 640
    • Discuss
    • 4. In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

    • Options
    • A. 209
    • B. 290
    • C. 200
    • D. 208
    • Discuss
    • 5. How many numbers of five digits can be formed by using the digits 1, 0, 2, 3, 5, 6 which are between 50000 and 60000 without repeating the digits?

    • Options
    • A. 120
    • B. 240
    • C. 256
    • D. 360
    • Discuss
    • 6. The letters of the word PROMISE are to be arranged so that three vowels should not come together. Find the number of ways of arrangements?

    • Options
    • A. 4320
    • B. 4694
    • C. 4957
    • D. 4871
    • Discuss
    • 7. In how many ways can letter of the word RAILINGS arrange so that R and S always come together?

    • Options
    • A. 1260
    • B. 2520
    • C. 5040
    • D. 1080
    • Discuss
    • 8. In a bag, there are 8 red, 7 blue and 6 green flowers. One of the flower is picked up randomly. What is the probability that it is neither red nor green ? A) 13 B)821 C)621 D)2021

    • Options
    • A. Option A
    • B. Option B
    • C. Option C
    • D. Option D
    • Discuss
    • 9. In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there ?

    • Options
    • A. 205
    • B. 194
    • C. 209
    • D. 159
    • Discuss
    • 10. In how many different ways the letters of the word 'TRANSFORMER' can be arranged such that 'N' and 'S' always come together?

    • Options
    • A. 112420
    • B. 85120
    • C. 40320
    • D. 1209600
    • Discuss


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