Question

In a school of 70 stds, 45 like to play cricket. 52 like to play kho kho. All the students plau atleast one of the two games. How many students like to play cricket or kho kho

Answer 1

52 students like to play kho kho and cricket 45

Answer 2

Answer:

Total number of students = 70

Let A be the set of students who likes to play Cricket.

Let B be the set of students who likes to play Kho-kho.

Hence the number of students who likes to play

Cricket or Kho-kho is n (A U B )

n (A U B ) = 70

Number of students who likes to play both Cricket and

Kho-kho = n (A n B)

n (A) = 45, n (B) = 52

We know, n (A U B ) = n (A) + n (B) - n (A n B) .

n (A n B) = n (A) + n (B) - n (A U B )

= 45 + 52 - 70 = 27

Number of students who likes to play both the games are 27,

Number of students who likes to play Kho-kho are 45.

Number of students who likes to play only Cricket = 45 -27 = 18

A n B is the set of students who play both the games.

n (A n B) = 27