November 4, 2011

How many people are there?


How many people must be there if all but 2 are named Smith, all but 2 are named Jones, and all but 2 are named Wilson?

23 comments:

  1. 3 - one Smith, one Jones and one Wilson.

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  2. total 6. 2 smith, 2 jones and 2 wilson

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  3. only 2 ..none of them is smith,jones or wilson

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  4. how it will be 3

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  5. There's 1 Smith, and two others - Jones & Wilson (all but two are Smith).
    There's 1 Jones, and two others - Smith & Wilson (all but two are Jones).
    There's 1 Wilson, and two others - Smith & Jones (all but two are Wilson).

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  6. It's 3. The mathematical way to find this out would be:
    Equation: P= s+j+w
    Key: P= # of people s= # of people named smith j= # of people named Jones w= # of people named wilson
    So... is all but 2 are named Smith then s= P-2, if all but 2 are named jones then j= P-2, if all but 2 are named wilson then w= P-2

    P then eqauls: P= (P-2) + (P-2) + (P-2)
    P= 3P-6
    -2P= -6
    P= 3

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  7. The correct answer is 2 or 3? Can it be 2 considering that none of them is named smith or Jones or Wilson?

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