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  • Question
  • 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

  • Correct Answer
  • 1209600 

    Explanation

    Given word is TRANSFORMER.

    Number of letters in the given word = 11 (3 R's)

     

    Required, number of ways the letters of the word 'TRANSFORMER' can be arranged such that 'N' and 'S' always come together is

    10! x 2!/3!

    = 3628800 x 2/6

    = 1209600

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

    Permutation and Combination problems


    Search Results


    • 1. 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
    • 2. 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
    • 3. 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
    • 4. 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
    • 5. 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
    • Discuss
    • 6. What is the value of 100P2 ?

    • Options
    • A. 10000
    • B. 9900
    • C. 8900
    • D. 7900
    • Discuss
    • 7. How many such pair of letters are there in the word ?TROUBLED? which have as many letters between them in the word as they have between them in the English alphabet?

    • Options
    • A. 2
    • B. 3
    • C. 4
    • D. 5
    • Discuss
    • 8. A,B,C,D,E,F,G and H are sitting around a circular table facing the centre but not necessarily in the same order. G sits third to the right of C. E is second to the right of G and 4th to the right of H. B is fourth to the right of C. D is not an immediate neighbour of E. A and C are immediate neighbours. Which of the following is/are correct ?

    • Options
    • A. F is third to the left of B
    • B. F is second to the right of B
    • C. B is an immediate neighbour of D
    • D. All of the above
    • Discuss
    • 9. Suppose you want to arrange your English, Hindi, Mathematics, History, Geography and Science books on a shelf. In how many ways can you do it?

    • Options
    • A. 360
    • B. 780
    • C. 720
    • D. 240
    • Discuss
    • 10. Compute the sum of 4 digit numbers which can be formed with the four digits 1,3,5,7, if each digit is used only once in each arrangement.

    • Options
    • A. 105555
    • B. 106665
    • C. 106656
    • D. 108333
    • Discuss


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