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Home Aptitude Permutation and Combination Comments

  • Question
  • First,second and third prizes are to be awarded at an engineering fair in which 13 exhibits have been entered.In how many different ways can the prizes be awarded?


  • Options
  • A. 1736
  • B. 1716
  • C. 1216
  • D. 1346

  • Correct Answer
  • 1716 

    Explanation

    13 P 3 = 13!/10! = 1716


  • Permutation and Combination problems


    Search Results


    • 1. In how many different ways can five persons stand in a line for a group photograph?

    • Options
    • A. 120
    • B. 240
    • C. 360
    • D. 720
    • Discuss
    • 2. If each of the 8 teams in a league must play each other three times,how many games will be played?

    • Options
    • A. 72
    • B. 84
    • C. 36
    • D. 79
    • Discuss
    • 3. There are 7 men and 10 women on a committee selection pool.A committee consisting of President,Vice-President, and Treasurer is to be formed.How many ways can exactly two men be on the committe ?

    • Options
    • A. 1200
    • B. 1240
    • C. 1260
    • D. 1620
    • Discuss
    • 4. A research team of 6 people is to be formed from 10 chemists,5 politicians, 8 economists and 15 biologists.How many teams have atleast 5 chemists?

    • Options
    • A. 7350
    • B. 6400
    • C. 6379
    • D. 7266
    • Discuss
    • 5. How many arrangements of the word TRIGONAL can be made if only two vowels and three consonants are used?

    • Options
    • A. 6300
    • B. 3600
    • C. 6400
    • D. 7200
    • Discuss
    • 6. When John arrives in New York,he has eight stops to see, but he has time only to visit six of them.In how many different ways can he arrange his schedule in New York?

    • Options
    • A. 20610
    • B. 24000
    • C. 20160
    • D. 21000
    • Discuss
    • 7. A local delivery company has three packages to deliver to three different homes. if the packages are delivered at random to the three houses, how many ways are there for at least one house to get the wrong package?

    • Options
    • A. 3
    • B. 5
    • C. 3!
    • D. 5!
    • Discuss
    • 8. A Group consists of 4 couples in which each of the 4 persons have one wife each. In how many ways could they be arranged in a straight line such that the men and women occupy alternate positions?

    • Options
    • A. 1152
    • B. 1278
    • C. 1296
    • D. None of these
    • Discuss
    • 9. The Number of times the digit 8 will be written when listing the integers from 1 to 1000 is :

    • Options
    • A. 100
    • B. 200
    • C. 300
    • D. 400
    • Discuss
    • 10. There are 41 students in a class, number of girls is one more than number of guys. we need to form a team of four students. all four in the team cannot be from same gender. number of girls and guys in the team should NOT be equal. How many ways can such a team be made ?

    • Options
    • A. 49450
    • B. 50540
    • C. 46587
    • D. 52487
    • Discuss


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