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  • Question
  • How many four digits numbers greater than 6000 can be made using the digits 0, 4, 2, 6 together with repetition.


  • Options
  • A. 64
  • B. 63
  • C. 62
  • D. 60

  • Correct Answer
  • 63 

    Explanation

    Given digits are 0, 4, 2, 6

    Required 4 digit number should be greater than 6000.

    So, first digit must be 6 only and the remaining three places can be filled by one of all the four digits.

    This can be done by

    1x4x4x4 = 64

    Greater than 6000 means 6000 should not be there.

    Hence, 64 - 1 = 63.

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

    Permutation and Combination problems


    Search Results


    • 1. Find the total numbers greater than 4000 that can be formed with digits 2, 3, 4, 5, 6 no digit being repeated in any number ?

    • Options
    • A. 120
    • B. 256
    • C. 192
    • D. 244
    • Discuss
    • 2. A polygon has 44 diagonals, then the number of its sides are ?

    • Options
    • A. 13
    • B. 9
    • C. 11
    • D. 7
    • Discuss
    • 3. A decision committee of 5 members is to be formed out of 4 Actors, 3 Directors and 2 Producers. In how many ways a committee of 2 Actors, 2 Directors and 1 Producer can be formed ?

    • Options
    • A. 18
    • B. 24
    • C. 36
    • D. 32
    • Discuss
    • 4. In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION?

    • Options
    • A. 4! x 4!
    • B. 5! x 5!
    • C. 4! x 5!
    • D. 3! x 4!
    • Discuss
    • 5. There are 5 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next two have 6 choices each?

    • Options
    • A. 1112
    • B. 2304
    • C. 1224
    • D. 2426
    • Discuss
    • 6. Find the number of ways in which 21 balls can be distributed among 3 persons such that each person does not receive less than 5 balls.

    • Options
    • A. 28
    • B. 14
    • C. 21
    • D. 7
    • Discuss
    • 7. If nC10=nC12 then,find n.

    • Options
    • A. 10
    • B. 12
    • C. 22
    • D. 24
    • Discuss
    • 8. Four ladies A, B, C and D and four gentlemen E, F, G and H are sitting in a circle round a table facing each other. Directions: (1) No two ladies or two gentlemen are sitting side by side. (2) C, who is sitting between G and E is facing D. (3) F is between D and A and is facing G. (4) H is to the right of B. Question: 1. Who are immediate neighbours of B? 2. E is facing whom?

    • Options
    • A. G & H , H
    • B. F & H , B
    • C. E & F , F
    • D. E & H , G
    • Discuss
    • 9. In How many ways is it possible to make a selection by taking any number of 15 fruits, namely 3 oranges, 5 apples and 7 mangoes?

    • Options
    • A. 131
    • B. 191
    • C. 68
    • D. 3720
    • Discuss
    • 10. How many different four letter words can be formed (the words need not be meaningful using the letters of the word "MEDITERRANEAN" such that the first letter is E and the last letter is R?

    • Options
    • A. 59
    • B. 56
    • C. 64
    • D. 55
    • Discuss


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