A group of market women sell at least one of yam, plantain and maize. 12...

A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain. 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only while 3 sell all the three items. How many women are in the group?

  • A. 25
  • B. 19
  • C. 18
  • D. 17
Correct Answer: Option A
Explanation

Let the three items be M, Y and P.
n{M ∩ Y} only = 4-3 = 1
n{M ∩ P) only = 5-3 = 2
n{ Y ∩ P} only = 2
n{M} only = 12-(1+3+2) = 6
n{Y} only = 10-(1+2+3) = 4
n{P} only = 14-(2+3+2) = 7
n{M∩P∩Y} = 3
Number of women in the group = 6+4+7+(1+2+2+3) as above =25 women.


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Contributions (105)

Hephlone
4 years ago
only m & p = 5-3=2

only m & y = 4-3=1

only y & p = 2.(2 sell yam and plantain ONLY)

now;

only m = 12-(2+2)= 8

only p = 14-(2+2)= 10

only y = 10-(1+2)= 7

therefore;

only p + only m + only y

8+10+7= 25
ajani4
3 years ago
just add all numbers together and divide it by 2 equal to 25
OrDan
6 years ago
To me.... the working is easier with d venn diagram.
lovefuns
5 years ago
D answer is 25
bobbyvitalis
6 years ago
yea!!!!!! i got it
jimohaishat2239
3 years ago
please can u reexplain
jimohaishat2239
3 years ago
please can u reexplain becos I did not understand
BASITOR
5 years ago
the qustion is so technical
andsmith
3 years ago
please what are prime numbers
Hephlone
4 years ago
there is no confusion in (YnP). the question says 2 sell yam and plaintain ONLY. IT HAS BEEN SPECIFIED.
sparkslife
5 years ago
Wat a good answer
Luxymel
6 years ago
correct a, i jux use simple logic- dat is d universel set 36, den wen u add up d different women who sells sum of d items 2geda,xcluding d 3 dat sells all: i.e 36-5+4+2= 36-14= 25
danielduru
4 years ago
The workings are correct
joydexprincess
3 years ago
luxymen is correct but calculated it wrong =36-5+4+2=36-11=25
Dakross3500
5 years ago
Plz we don't understand dat method, can u use venn diagram

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