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Home Aptitude Permutation and Combination Comments

  • Question
  • How many ways are there to select a subcommittee of 7 members from among a committee of 17?


  • Options
  • A. 19000
  • B. 19448
  • C. 19821
  • D. 19340

  • Correct Answer
  • 19448 

    Explanation

    Since it does not matter what order the committee members are chosen in, the combination formula is used.

     

    Committees are always a combination unless the problem states that someone like a president has higher hierarchy over another person. If the committee is ordered, then it is a permutation.

     

    C(17,7)= 19,448


  • Permutation and Combination problems


    Search Results


    • 1. Find the number of ways to take 20 objects and arrange them in groups of 5 at a time where order does not matter.?

    • Options
    • A. 57090
    • B. 15540
    • C. 15504
    • D. 23670
    • Discuss
    • 2. Find the number of ways to arrange 6 items in groups of 4 at a time where order matters?

    • Options
    • A. 720
    • B. 640
    • C. 740
    • D. 360
    • Discuss
    • 3. Find the number of ways to arrange 4 people in groups of 3 at a time where order matters?

    • Options
    • A. 20
    • B. 16
    • C. 24
    • D. 36
    • Discuss
    • 4. How many 3-digit numbers can be formed with the digits 1,4,7,8 and 9 if the digits are not repeated ?

    • Options
    • A. 60
    • B. 26
    • C. 50
    • D. 64
    • Discuss
    • 5. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

    • Options
    • A. 54
    • B. 64
    • C. 63
    • D. 36
    • Discuss
    • 6. Determine the total number of five-card hands that can be drawn from a deck of 52 cards.

    • Options
    • A. 2589860
    • B. 2598970
    • C. 2598960
    • D. 2430803
    • Discuss
    • 7. A school has scheduled three volleyball games, two soccer games, and four basketball games. You have a ticket allowing you to attend three of the games. In how many ways can you go to two basketball games and one of the other events?

    • Options
    • A. 25
    • B. 30
    • C. 50
    • D. 75
    • Discuss
    • 8. Find the number of ways to draw a straight, (suit does not matter) beginning with a 4 and ending with a 8?

    • Options
    • A. 1024
    • B. 1296
    • C. 1094
    • D. 1200
    • Discuss
    • 9. 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
    • 10. 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


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