### 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
##### 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.

#### Contributions (105)

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
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• Akinola Endurance: 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

Number of women in the group = 6+4+7+(1+2+2+3) as above =25 women.
9 months ago
•      6 months ago
just add all numbers together and divide it by 2 equal to 25
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• Lexeric: Exactly
1 year ago
• Micah: But do u think we can do it d same way for other questions similar to this
7 months ago
• melly: WHERE DID U GET THE 2 U DIVIDED WITH
4 months ago
• Emmbrains: From his father's Library ofcause
1 day ago
To me.... the working is easier with d venn diagram.
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• Abetwiz: pleas can u explain further?i dnt understan d maths
6 years ago
• Mikkyjazz1: Yes
6 years ago
• Tobohrey: 15 is an odd numba bcos its nt divisible by 2.... Its nt a prime number bcos it cn be divided by 3 nd 5.
6 years ago
• ayodeleyemi: THTS RIGHT.... but it seem easier using venn's diagram
5 years ago
• Tobiloba Sofowora: yes 15 is an odd no coz its nt devisive by 2....and accordin to d definition of odd no..itz simply no dat ar devisive by 2
5 years ago
• olamide1990: 15 is not an odd number because it cannot be divisible by 2
5 years ago
• Forwardtutor: Let Use Formula

(Y)n=10 (M)n=12 (P)n=14 (MnP)=5 (YnM)=4 (YnP)=2 (YnPnM)=3 MuPuY=(M)+(Y)+(P)-{(MnY)+(MnP)+(YnP)} +MnPnY

MuPuY=12+10+14-{4+5+2}+3

MuPuY=36-11+3

MuPuY=28
4 years ago
• Hbd: Mupuy=25 said hw?thanks for asking ynpnm'=2 but you use it for ynp which is not...........add 3 to ynpnm' to get 3

ynp now do it again sir
3 years ago
• abbey: nt cleared
1 year ago
• Lexeric: ah don't understand
1 year ago
• SHAMSU: Math is real scrab my brain
1 year ago
• Ayobami: My dear brothers And sisters, Venn diagram is the best to solve this if you don't want to waste it ur time racking your brain
11 months ago
• Baffs: Maths Is An Easy Is It?
9 months ago
• Kaycee: The answer I got was 19. I don't understand how the answer is 25
5 months ago
D answer is 25
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yea!!!!!! i got it
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please can u reexplain
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please can u reexplain becos I did not understand
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the qustion is so technical
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• Lexeric: really
1 year ago
please what are prime numbers
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• Gideon Wada: they are numbers that can only be divided by itself and 1. Exampes are 2,3,5,7.
(1 is not a prime number)
2 months ago
there is no confusion in (YnP). the question says 2 sell yam and plaintain ONLY. IT HAS BEEN SPECIFIED.
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• bashir: proof please
4 months ago
• MAN: i dnt tink it needs proof we were taught dat wen a set as an ONLY it meant to b used lyk dat but if it dosent u ve to subtract it 4rm d specified set
4 days ago
Wat a good answer
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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
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• Damoscology: This is very simple and logical...Thank you bro
5 years ago
• Quad54321: I think your explanation is very forward but I do not really understand it
5 years ago
• Uchechukwu20: Yeah! Really understand this and its simple though but I was taught that any math that seems simple and easy is not a math. Is it true!
5 years ago
• Lexeric: exactly
1 year ago
• DESUC-CY: jamb and post UME are usually OBJ, so we need quick and short solution.
1 year ago
The workings are correct
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luxymen is correct but calculated it wrong =36-5+4+2=36-11=25
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Plz we don't understand dat method, can u use venn diagram
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