Question

1) In a class of 70 students, 45 students like to play cricket, 32 students like to play ko-
kho. All the students like to play atleast one of the two games. Find the number of
students who like to play only cricket.​

Answer 1

Answer: Please recheck your question

Explanation:

Total students =70

45 like to play cricket 32 like to play KO-KHO. But adding 45 and 32 gives

77 students.

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