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Home Aptitude Permutation and Combination Comments

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


  • Options
  • A. 12400
  • B. 11160
  • C. 16200
  • D. 12600

  • Correct Answer
  • 12600 

    Explanation

    Total number of alphabets = 10

    so ways to arrange them = 10! 

     

    Then there will be duplicates because 1st S is no different than 2nd S.

    we have 4 Is 3 S and 2 Ps 

     

    Hence number of arrangements = 10!/4! x 3! x 2! = 12600


  • Permutation and Combination problems


    Search Results


    • 1. There are 2 brothers among a group of 20 persons. In how many ways can the group be arranged around a circle so that there is exactly one person between the two brothers?

    • Options
    • A. 18! x 19!
    • B. 2 x 19!
    • C. 2 x 18!
    • D. 18! x 18!
    • Discuss
    • 2. Eight first class and six second class petty officers are on the board of the 56 club. In how many ways can the members elect, from the board, a president, a vice-president, a secretary, and a treasurer if the president and secretary must be first class petty officers and the vice-president and treasurer must be second class petty officers?

    • Options
    • A. 1500
    • B. 1860
    • C. 1680
    • D. 1640
    • Discuss
    • 3. 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. 240
    • C. 120
    • D. 260
    • Discuss
    • 4. How many number of times will the digit ?7' be written when listing the integers from 1 to 1000?

    • Options
    • A. 243
    • B. 300
    • C. 301
    • D. 290
    • Discuss
    • 5. A certain marathon had 50 people running for first prize, second, and third prize.How many ways are there to correctly guess the first, second, and third place winners?

    • Options
    • A. 2
    • B. 1
    • C. 4
    • D. 3
    • Discuss
    • 6. In how many ways, can zero or more letters be selected form the letters AAAAA?

    • Options
    • A. 5
    • B. 6
    • C. 2
    • D. 8
    • Discuss
    • 7. Goldenrod and No Hope are in a horse race with 6 contestants. How many different arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?

    • Options
    • A. 720
    • B. 360
    • C. 120
    • D. 640
    • Discuss
    • 8. A committee of 4 people is to be formed from a group of 9 people.How many possible committees can be formed?

    • Options
    • A. 120
    • B. 162
    • C. 126
    • D. 170
    • Discuss
    • 9. A pizza can have 3 toppings out of possible 7 toppings.How many different pizza's can be made?

    • Options
    • A. 49
    • B. 35
    • C. 27
    • D. 25
    • Discuss
    • 10. How many ways can you select 17 songs for mix CD out of possible 38 songs?

    • Options
    • A. 2878
    • B. 2878 x 10^2
    • C. 290183753
    • D. 2878 x 10^10
    • Discuss


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