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# Each of three charities in Novel Grove Estates has 8 persons serving

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Re: Each of three charities in Novel Grove Estates has 8 persons serving [#permalink]
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Charity 1, 8 people:

a,b,c,d,e,f,g,h

Charity 2, 8 people:

a,b,c,d,e,x,y,z

Charity 3, 8 people:

a,b,c,d,f,p,q,z

Total distinct people from 3 charities: a,b,c,d,e,f,g,h,p,q,x,y,z = 13 people
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Re: Each of three charities in Novel Grove Estates has 8 persons serving [#permalink]
m990540 wrote:
Hello,

Here's an overlapping set question that I came across and obviously got wrong.

Thanks in advance to anyone who can help me sort this one out!

Check this link for different formulas on 3 overlapping sets (theory and examples): formulae-for-3-overlapping-sets-69014.html#p729340
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Re: Each of three charities in Novel Grove Estates has 8 persons serving [#permalink]
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Total - 13
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Charities.png [ 8.19 KiB | Viewed 14485 times ]

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Re: Each of three charities in Novel Grove Estates has 8 persons serving [#permalink]
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let the boards be A, B, and C
n(total) = n(A) + n(B) + n(C) - n(AB) - n(AC) - n(BC) + n(ABC)
= 8+8+8-5-5-5+4 = 13

ans B
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Re: Each of three charities in Novel Grove Estates has 8 persons serving [#permalink]
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Distinct persons means addition of all colours (As per diagram below)

= 2+1+4+1+2+1+2

= 13

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Re: Each of three charities in Novel Grove Estates has 8 persons serving [#permalink]
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Re: Each of three charities in Novel Grove Estates has 8 persons serving [#permalink]
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