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  • Question
  • 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

  • Correct Answer
  • 5040 

    Explanation

    The number of ways in which the letters of the word RAILINGS can be arranged such that R & S always come together is

     

    Count R & S as only 1 space or letter so that RS or SR can be arranged => 7! x 2!

     

    But in the word RAILINGS, I repeated for 2 times => 7! x 2!/2! = 7! ways = 5040 ways.

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

    Permutation and Combination problems


    Search Results


    • 1. 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
    • 2. 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
    • 3. 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
    • 4. 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
    • 5. 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
    • 6. 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
    • 7. 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
    • 8. 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
    • 9. What is the value of 100P2 ?

    • Options
    • A. 10000
    • B. 9900
    • C. 8900
    • D. 7900
    • Discuss
    • 10. 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


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