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Home Aptitude Permutation and Combination Comments

  • Question
  • How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels. If all the letters are different?


  • Options
  • A. 251820
  • B. 258120
  • C. 281520
  • D. 285120

  • Correct Answer
  • 285120 

    Explanation

    Required no. of words = 12P4 x 4P3
    = 12 x 11 x 10 x 9 x 4 x 3 x 2
    = 120(100 - 1) x 24
    = 288000 - 2880
    = 285120


  • Permutation and Combination problems


    Search Results


    • 1. 
      The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line, is?

    • Options
    • A. 185
    • B. 175
    • C. 115
    • D. 105
    • Discuss
    • 2. 
      A library has 'a' copies of one book, 'b' copies of each of two book, 'c' copies of each of three books and single copy of 'd' book. The number of ways in which these books can be distribute is?

    • Options
    • A. (a + b + c + d)! / (a! b! c!)
    • B. (a + 2b + 3c + d)! / {a! (b!)2 (c!)3}
    • C. (a + 2b + 3c + d )! / (a! b! c!)
    • D. None of these
    • Discuss
    • 3. 
      How many straight lines can be drawn from 15 non-collinear points?

    • Options
    • A. 105
    • B. 120
    • C. 110
    • D. 115
    • Discuss
    • 4. 
      In a meeting between two countries, each country has 12 delegates. All the delegates of one country shake hands with all delegates of the other country. Find the number of handshakes possible?

    • Options
    • A. 72
    • B. 144
    • C. 288
    • D. 234
    • Discuss
    • 5. 
      In how many different ways, can the letters of the word 'VENTURE' be arranged?

    • Options
    • A. 840
    • B. 5040
    • C. 1260
    • D. 2520
    • Discuss
    • 6. 
      12 persons are to be arranged to a round table. If two particular persons among them are not to be side by side, the total number of arrangements is?

    • Options
    • A. 9 (10!)
    • B. 2 (10!)
    • C. 45 (8!)
    • D. 10!
    • Discuss
    • 7. 
      The total number of selections of fruit which can be made from 3 bananas, 4 apples and 2 oranges is?

    • Options
    • A. 39
    • B. 315
    • C. 512
    • D. None of these
    • Discuss
    • 8. 
      The total number of arrangements of the letters in the expression a 3b 2c 4 when written at full length is?

    • Options
    • A. 1260
    • B. 2520
    • C. 610
    • D. None of these
    • Discuss
    • 9. 
      If nC r - 1 = 36, nC r = 84 and nC r + 1 = 126 then?

    • Options
    • A. n = 8, r = 4
    • B. n = 9, r = 3
    • C. n = 7, r = 5
    • D. None of these
    • Discuss
    • 10. 
      If 35C n + 7 = 35C 4n - 2, then all the values of n are given by?

    • Options
    • A. 28
    • B. 3, 6
    • C. 3
    • D. 6
    • Discuss


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