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Basic Concepts Of Permutations And Combinations

20 Questions
Basic Concepts Of Permutations And Combinations
Questions and Answers
  • 1. 
     is evaluated as
    • A. 

      43

    • B. 

      34

    • C. 

      24

    • D. 

      None of these

  • 2. 
     is equal to
    • A. 

      1

    • B. 

      24

    • C. 

      0

    • D. 

      None of these

  • 3. 
    7! is equal to
    • A. 

      5040

    • B. 

      4050

    • C. 

      5050

    • D. 

      None of these

  • 4. 
    0! is a symbol equal to
    • A. 

      0

    • B. 

      1

    • C. 

      Infinity

    • D. 

      None of these

  • 5. 
    In nPr ,n is always 
    • A. 

      An integer

    • B. 

      A fraction

    • C. 

      A positive integer

    • D. 

      None of these

  • 6. 
    In nPr, the restriction is  Options: A.n > r B. C. D. None of these
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 7. 
     In  nPr =n (n-1) (n-2) ........................ (n-r-1), the number of factor is  
    • A. 

      N

    • B. 

      R-1

    • C. 

      N-r

    • D. 

      R

  • 8. 
     nPr can also written as Options: A. B. C. D.None of these
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 9. 
    If nP4 = 12 x nP2, then is equal to 
    • A. 

      -1

    • B. 

      6

    • C. 

      5

    • D. 

      None of these

  • 10. 
    If . nP3: nP2 =3:1, then n is equal to
    • A. 

      7

    • B. 

      4

    • C. 

      5

    • D. 

      None of these

  • 11. 
    m+nP2 = 56, m-nP2 = 30 then
    • A. 

      M =6, n = 2

    • B. 

      M = 7, n= 1

    • C. 

      M=4,n=4

    • D. 

      None of these

  • 12. 
     If 5Pr= 60, then the value of r is
    • A. 

      3

    • B. 

      2

    • C. 

      4

    • D. 

      None of these

  • 13. 
    If n1+n2 P2 = 132, n1-n2P2 = 30 then,  
    • A. 

      N1=6,n2=6

    • B. 

      N1=10,n2=2

    • C. 

      N1=9,n2=3

    • D. 

      None of these

  • 14. 
    The number of ways the letters of the word COMPUTER can be rearranged is
    • A. 

      40320

    • B. 

      40319

    • C. 

      40318

    • D. 

      None of these

  • 15. 
    The number of arrangements of the letters in the word FAILURE, so that vowels are always! coming together is
    • A. 

      576

    • B. 

      575

    • C. 

      570

    • D. 

      None of these

  • 16. 
    10 examination papers are arranged in such a way that the best and worst papers never come together. The number of arrangements is
    • A. 

      9[8]!

    • B. 

      10!

    • C. 

      8[9]!

    • D. 

      None of these

  • 17. 
    N articles are arranged in such a way that 2 particular articles never come together. The number of such arrangements is
    • A. 

      (n-2)n-1!

    • B. 

      (n-1)n-2!

    • C. 

      N!

    • D. 

      None of these

  • 18. 
    If 12 school teams are participating in a quiz contest, then the number of ways the first, second and third positions may be won is
    • A. 

      1230

    • B. 

      1320

    • C. 

      3210

    • D. 

      None of these

  • 19. 
    The sum of all 4 digit number containing the digits 2, 4, 6, 8, without repetitions is
    • A. 

      133330

    • B. 

      122220

    • C. 

      213330

    • D. 

      133320

  • 20. 
    The number of 4 digit numbers greater than 5000 can be formed out of the digits 3, 4, 5, 6 and 7 (no. digit is repeated). The number of such is
    • A. 

      72

    • B. 

      27

    • C. 

      70

    • D. 

      None of these

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