Out of 25 children, 10 children like science subject and 15 children like English. 7 children like both the subjects.

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?

7 children.

This can be solved by drawing a Venn diagram. The diagram is attached to this response.

Given:

Total number of children = 25

Number that like both subjects = 7

Number that like science = 10

Number that like English = 15

Unknown

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.

This implies that;

25 = 3 + 8 + 7 + x

Solving for x gives;

25 = 18 + x

x = 25 - 18

x = 7

Therefore, 7 children do not like any subject.