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?
25
19
18
17
Explanation
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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
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
it simple just add the number of people that sell the items for e.g 14+12+10=36 and add the numbers of items they got in common e.g 5+2+4=11 therefor subtrack 36 which is the items number from want the have in common which 11. to take away 11 from 36 we 25 there d answers is 25
Pls who solved dat maths, resolve it, the answer is 19 pls nd not 25, u'd better use vein diagram.
n(N n O)=4-3
n(N n T) =5-3=2
n(o n t)=2
n(N)=12-(1+3+2)=6
n(o)=10-(1+2+3)=4
n(t)=14-(2+3+2)=4
n(N n O n T)=3
6+4+7+(1+2+2+3)=25
for the people that are confused the answer is 25
workings:
nM=12-(5+4+3)=14
nY=10-(4+2+3)=11
nP=14-(5+2+3)=14
all together is equal to 39
nP&nM =5
nY&nM=4
nY&nP=2
nM&nY&nP=3
all those is equal to 14
39-14= 25
Let's solve the problem using a Venn diagram.
Here's the diagram:
Three overlapping circles represent the sets of women selling:
M (maize)
Y (yam)
P (plantain)
Let's fill in the information:
M ∩ P = 5 (plantain and maize)
M ∩ Y = 4 (yam and maize)
Y ∩ P = 2 (yam and plantain only)
M ∩ Y ∩ P = 3 (all three items)
From the diagram, we can see:
M = 12, so the remaining part of M is 12 - 5 - 4 + 3 = 6
Y = 10, so the remaining part of Y is 10 - 4 - 2 + 3 = 7
P = 14, so the remaining part of P is 14 - 5 - 2 + 3 = 10
Now, let's count the total number of women:
6 (M only) + 7 (Y only) + 10 (P only) + 5 (M ∩ P) + 4 (M ∩ Y) + 2 (Y ∩ P) + 3 (M ∩ Y ∩ P)
However, we've counted the overlaps multiple times. Let's correct that:
6 + 7 + 10 + 5 + 4 + 2 + 3 = 37
Subtracting the overlaps:
37 - 5 (M ∩ P) - 4 (M ∩ Y) - 2 (Y ∩ P) + 3 (M ∩ Y ∩ P) = 25
Therefore, the correct answer is:
A. 25
I'm guessing the initial comments were deleted cause there were a load of explanations given in here
