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  • Question
  • 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

  • Correct Answer


  • Explanation

    There is 1 way to correctly guess who comes in first, second, and third. There is only one set of first, second and third place winners. You must correctly guess these three people, and there is only one way to do so.


  • Permutation and Combination problems


    Search Results


    • 1. 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
    • 2. 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
    • 3. 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
    • 4. 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
    • Discuss
    • 5. 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
    • 6. 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
    • 7. 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
    • 8. 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
    • 9. 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
    • 10. In how many ways can the letters of the word 'MISSISIPPI' be arranged ?

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


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