logo

CuriousTab

CuriousTab

Discussion


Home Aptitude Permutation and Combination Comments

  • Question
  • 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

  • Correct Answer
  • 23023 

    Explanation

    Choose 2 juniors and 2 seniors.

     

    14 C 2 * 23 C 2   =   23023


  • Permutation and Combination problems


    Search Results


    • 1. In how many ways can the letters of the word "PROBLEM" be rearranged to make 7 letter words such that none of the letters repeat?

    • Options
    • A. 49
    • B. 7!
    • C. 7^7
    • D. 7^3
    • Discuss
    • 2. In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?

    • Options
    • A. 4!/2!
    • B. 3!/2!
    • C. (4! x 3!) / 2!
    • D. 36
    • Discuss
    • 3. How many ways are there to deal a five-card hand consisting of three eight's and two sevens?

    • Options
    • A. 36
    • B. 72
    • C. 24
    • D. 16
    • Discuss
    • 4. Find the number of ways to take 4 people and place them in groups of 3 at a time where order does not matter?

    • Options
    • A. 4
    • B. 12
    • C. 36
    • D. 16
    • Discuss
    • 5. 12 points lie on a circle. How many cyclic quadrilaterals can be drawn by using these points?

    • Options
    • A. 500
    • B. 490
    • C. 495
    • D. 540
    • Discuss
    • 6. 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
    • 7. 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
    • 8. 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
    • 9. 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
    • 10. 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


    Comments

    There are no comments.

Enter a new Comment