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Home Aptitude Permutation and Combination Comments

  • Question
  • 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

  • Correct Answer
  • 1260 

    Explanation

    There are  7 C 2 ways of selecting two men, and  10 C 1  ways of selecting a woman.Since each position in the committee is different,arrange the three people in 3! ways.

     

    So,  7 C 2 * 10 C 1 * 3 !   = 1260


  • Permutation and Combination problems


    Search Results


    • 1. 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
    • 2. 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
    • 3. A student council of 5 members is to be formed from a selection pool of 6 boys and 8 girls.How many councils can have Jason on the council?

    • Options
    • A. 715
    • B. 725
    • C. 419
    • D. 341
    • Discuss
    • 4. From a deck of 52 cards, a 5 card hand is dealt.How many distinct hands can be formed if there are atleast 2 queens?

    • Options
    • A. 103336
    • B. 120000
    • C. 108336
    • D. 108333
    • Discuss
    • 5. There are fourteen juniors and twenty-three seniors in the Service Club. The club is to send four representatives to the State Conference. If the members of the club decide to send two juniors and two seniors, how many different groupings are possible ?

    • Options
    • A. 23024
    • B. 24023
    • C. 23023
    • D. 25690
    • Discuss
    • 6. 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
    • 7. 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
    • 8. 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
    • Discuss
    • 9. 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
    • 10. 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


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