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


  • Options
  • A. 26
  • B. 54
  • C. 52
  • D. 28

  • Correct Answer
  • 54 

    Explanation

    Number of mens = 8

    Number of womens = 5

     

    Different ways could couples be picked = C 1 6 × ? 9 C 1  = 9 x 6 = 54 ways.

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

    Permutation and Combination problems


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    • 1. 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
    • 2. If a+b+c =21 what is the total number of positive integral solutions?

    • Options
    • A. 109
    • B. 190
    • C. 901
    • D. 910
    • Discuss
    • 3. 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
    • 4. 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
    • 5. Using numbers from 0 to 9 the number of 5 digit telephone numbers that can be formed is

    • Options
    • A. 1,00,000
    • B. 59,049
    • C. 3439
    • D. 6561
    • Discuss
    • 6. 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
    • Discuss
    • 7. 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
    • 8. 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
    • 9. 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
    • 10. 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


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