logo

CuriousTab

CuriousTab

Discussion


Home Aptitude Permutation and Combination Comments

  • Question
  • A box contains 2 blue balls, 3 green balls and 4 yellow balls. In how many ways can 3 balls be drawn from the box, if at least one green ball is to be included in the draw?


  • Options
  • A. 48
  • B. 24
  • C. 64
  • D. 32

  • Correct Answer
  • 64 

    Explanation

    Total number of balls = 2 + 3 + 4 = 9

    Total number of ways 3 balls can be drawn from 9 = 9C3

    No green ball is drawn = 9 - 3 = 6 = 6C3

    Required number of ways if atleast one green ball is to be included = Total number of ways - No green ball is drawn

    = 9C3 - 6C3

    = 9x8x7/3x2  -  6x5x4/3x2

    = 84 - 20

    = 64 ways.

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

    Permutation and Combination problems


    Search Results


    • 1. In how many ways the word 'SCOOTY' can be arranged such that 'S' and 'Y' are always at two ends?

    • Options
    • A. 720
    • B. 360
    • C. 120
    • D. 24
    • Discuss
    • 2. The number of sequences in which 4 players can sing a song, so that the youngest player may not be the last is ?

    • Options
    • A. 2580
    • B. 3687
    • C. 4320
    • D. 5460
    • Discuss
    • 3. In how many different ways could couples be picked from 6 men and 9 women ?

    • Options
    • A. 26
    • B. 54
    • C. 52
    • D. 28
    • Discuss
    • 4. If two cards are taken one after another without replacing from a pack of 52 cards. What is the probability for the two cards be Ace ?

    • Options
    • A. 51/1221
    • B. 42/221
    • C. 1/221
    • D. 52/1245
    • Discuss
    • 5. If a+b+c =21 what is the total number of positive integral solutions?

    • Options
    • A. 109
    • B. 190
    • C. 901
    • D. 910
    • Discuss
    • 6. Out of 6 green ball, 4 blue ball, in how many ways we selectone or more balls ?

    • Options
    • A. 42
    • B. 34
    • C. 31
    • D. 22
    • Discuss
    • 7. If A1, A2, A3, A4, ..... A10 are speakers for a meeting and A1 always speaks after, A2 then the number of ways they can speak in the meeting is

    • Options
    • A. 9!
    • B. 9!/2
    • C. 10!
    • D. 10!/2
    • Discuss
    • 8. In How many ways can the letters of the word 'CAPITAL' be arranged in such a way that all the vowels always come together?

    • Options
    • A. 360
    • B. 720
    • C. 120
    • D. 840
    • Discuss
    • 9. How many arrangements of the letters of the word ?BENGALI? can be made if the vowels are never together.

    • Options
    • A. 120
    • B. 640
    • C. 720
    • D. 540
    • Discuss
    • 10. There are 5 novels and 4 biographies. In how many ways can 4 novels and 2 biographies can be arranged on a shelf ?

    • Options
    • A. 26100
    • B. 21600
    • C. 24000
    • D. 36000
    • Discuss


    Comments

    There are no comments.

Enter a new Comment