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<h2>Question:</h2>
Out of 25 children, 10 children like science subject and 15 children like English. 7 children like both the subjects. How many students don't like any subject?
<h2>Answer:</h2>7 children.
<h2>Step-by-step explanation:</h2>This can be solved by drawing a Venn diagram. The diagram is attached to this response.
<em>Given</em>:
Total number of children = 25
Number that like both subjects = 7
Number that like science = 10
Number that like English = 15
<em>Unknown</em>
Let the number of children that like science alone be s
Let the number of children that like English alone be e
Let the number of children that do not like any subject be x
s = Number that like science - number the like both subjects.
s = 10 - 7
s = 3
e = Number that like English - number the like both subjects.
e = 15 - 7
e = 8
Total number of children = Number that like science alone + Number that like English alone + Number that like both subjects + Number that do not like any subject.
<em>This implies that;</em>
25 = 3 + 8 + 7 + x
<em>Solving for </em><em>x</em><em> gives;</em>
25 = 18 + x
x = 25 - 18
x = 7
Therefore, 7 children do not like any subject.