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Thread: If a number is selected from 10,000 to 99,999, inclusive

  1. #1
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    If a number is selected from 10,000 to 99,999, inclusive

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    If a number is selected from 10,000 to 99,999, inclusive, what is the probability of getting a number that contain four digits of "5"?(A) 1/1,500
    (B) 3/5,000
    (C) 44/100,000
    (D) 44/90,000
    (E) 52/90,000

  2. #2
    Sweeeeeeet! e.cartman's Avatar
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    Imo D.
    5555_
    The extra digit can be filled by 0to9 except 5 in 9 ways. That can fill in for units, tens, hundreds, thousands places. In 10,000s place, there are only 8 ways.
    So 9*4+8=44.
    All possible is 90,000.

  3. #3
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    IMO D

    AA. (5555X - X can be 1,2,3,4,6,7,8,9) - no. of possible arrangement= 8 * 5!/4! =40

    BB.5555X - X can be 0 also . In this case no. of arrangement = 4!/3!=4

    Total arrangements with 5555X = 44
    Total possible is 90,000
    Hence - D

    OA please.

    Thanks

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    Agree with D

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