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Permutation and Combination problems


  • 1. Compute the sum of 4 digit numbers which can be formed with the four digits 1,3,5,7, if each digit is used only once in each arrangement.

  • Options
  • A. 105555
  • B. 106665
  • C. 106656
  • D. 108333
  • Discuss
  • 2. If repetition of the digits is allowed, then the number of even natural numbers having three digits is :

  • Options
  • A. 550
  • B. 450
  • C. 500
  • D. 540
  • Discuss
  • 3. In how many different ways can the letters of the word 'THERAPY' be arranged so that the vowels never come together?

  • Options
  • A. 1440
  • B. 720
  • C. 2250
  • D. 3600
  • Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO, Database Administrator, IT Trainer

  • Discuss
  • 4. In how many ways the letters of the word NUMERICAL can be arranged so that the consonants always occupy the even places ?

  • Options
  • A. 5!
  • B. 6!
  • C. 4!
  • D. Can't determine
  • Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO

  • Discuss
  • 5. 5 men and 4 women are to be seated in a row so that the women occupy the even places . How many such arrangements are possible?

  • Options
  • A. 2880
  • B. 1440
  • C. 720
  • D. 2020
  • Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk

  • Discuss
  • 6. In how many ways can 5 letters be posted in 4 letter boxes?

  • Options
  • A. 512
  • B. 1024
  • C. 625
  • D. 20
  • Discuss
  • 7. 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
  • Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO

  • Discuss
  • 8. 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
  • 9. 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
  • 10. If a+b+c =21 what is the total number of positive integral solutions?

  • Options
  • A. 109
  • B. 190
  • C. 901
  • D. 910
  • Also asked in: CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk

  • Discuss

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