
In the class of students, students like to play cricket, students like to play kho-kho and all the students like to play at least one of the two games. Represent this information using the Venn diagram. How many students like to play both the games cricket and kho-kho?
Answer
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Hint: Let the set of students playing cricket be and the set of them playing kho-kho be and it is given that and we know that is the set of students who like to play at least one of the two games. So and are those who like to play both the games and we know the formula that
Complete step-by-step answer:
Here in the above question, we are given that in the class of students, students like to play cricket, students like to play kho-kho and all the students like to play at least one of the two games.
Let the set of students playing cricket be and the set of them playing kho-kho be and it is given that
So set {students who like to play cricket}
Set {students who like to play kho-kho}
Hence
We know that is the set of students who like to play at least one of the two games. So and are those who like to play both the games and we know the formula that
AႶB
Hence we know the formula that
represents number of students liking cricket
represents number of students who like kho-kho
are the number of students liking at least one game
are those who like both the games.
Hence we get that
So those who like both the games are students.
Note: is called as which means that include both
is called as which means that it is their common point.
So it is given that
Complete step-by-step answer:
Here in the above question, we are given that in the class of
Let the set of students playing cricket be
So set
Set
Hence
We know that

AႶB
Hence we know the formula that
Hence we get that
So those who like both the games are
Note:
So it is given that
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