Given digits 2,2,3,3,3,4,4,4,4 how many distinct 4 digit numbers greater than 3000 can be formed?

options

a-50

b-51

c-52

d-54

plz give details ..........its a general aptitute question

4 Answers

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  • 1 decade ago
    Favorite Answer

    what do you mean, is that all 4 digits are distinct?

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  • 3 years ago

    3 And 4 Digit

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  • Awms A
    Lv 7
    1 decade ago

    First digit is either 3 or 4. We'll consider each case separately:

    (1) First digit is 3:

    Then the rest of the numbers must come from the list: 2, 2, 3, 3, 4, 4, 4, 4

    Therefore we may choose any 3-digit sequence except 222 and 333 for the rest of the digits. This shows there are

    3*3*3 - 2 = 25

    numbers in this case.

    (2) First digit is 4:

    Then the rest of the numbers must come from the list 2, 2, 3, 3, 3, 4, 4, 4

    Therefore we may choose any 3-digit sequence except 222 for the rest of the digits. This shows there are

    3*3*3 - 1 = 26

    numbers in this case.

    Now, the total number is just 25 + 26 = 51.

    • 6 years agoReport

      Can you explain why you haven't taken the numbers 3222 ,3333 and 4222
      why they are ignored ? because they are not being repeated and are distinct

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  • 5 years ago

    51

    • gurdeep4 years agoReport

      Not understood

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