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  • Question
  • The number of sequences in which 4 players can sing a song, so that the youngest player may not be the last is ?


  • Options
  • A. 2580
  • B. 3687
  • C. 4320
  • D. 5460

  • Correct Answer
  • 4320 

    Explanation

    Let 'Y' be the youngest player.

    The last song can be sung by any of the remaining 3 players. The first 3 players can sing the song in (3!) ways.

    The required number of ways = 3(3!) = 4320.

  • Tags: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO

    Permutation and Combination problems


    Search Results


    • 1. In how many different ways could couples be picked from 6 men and 9 women ?

    • Options
    • A. 26
    • B. 54
    • C. 52
    • D. 28
    • Discuss
    • 2. If two cards are taken one after another without replacing from a pack of 52 cards. What is the probability for the two cards be Ace ?

    • Options
    • A. 51/1221
    • B. 42/221
    • C. 1/221
    • D. 52/1245
    • Discuss
    • 3. If a+b+c =21 what is the total number of positive integral solutions?

    • Options
    • A. 109
    • B. 190
    • C. 901
    • D. 910
    • Discuss
    • 4. A coach must choose five starters from a team of 12 players. How many different ways can the coach choose the starters ?

    • Options
    • A. 569
    • B. 729
    • C. 625
    • D. 769
    • Discuss
    • 5. If you have 6 New Year greeting cards and you want to send them to 4 of your friends, in how many ways can this be done?

    • Options
    • A. 720
    • B. 360
    • C. 240
    • D. 740
    • Discuss
    • 6. In how many ways the word 'SCOOTY' can be arranged such that 'S' and 'Y' are always at two ends?

    • Options
    • A. 720
    • B. 360
    • C. 120
    • D. 24
    • Discuss
    • 7. A box contains 2 blue balls, 3 green balls and 4 yellow balls. In how many ways can 3 balls be drawn from the box, if at least one green ball is to be included in the draw?

    • Options
    • A. 48
    • B. 24
    • C. 64
    • D. 32
    • Discuss
    • 8. Out of 6 green ball, 4 blue ball, in how many ways we selectone or more balls ?

    • Options
    • A. 42
    • B. 34
    • C. 31
    • D. 22
    • Discuss
    • 9. If A1, A2, A3, A4, ..... A10 are speakers for a meeting and A1 always speaks after, A2 then the number of ways they can speak in the meeting is

    • Options
    • A. 9!
    • B. 9!/2
    • C. 10!
    • D. 10!/2
    • Discuss
    • 10. In How many ways can the letters of the word 'CAPITAL' be arranged in such a way that all the vowels always come together?

    • Options
    • A. 360
    • B. 720
    • C. 120
    • D. 840
    • Discuss


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