Question

In a class of 70 students 45 students like to pay cricket 52 like to pay khokho all the students like to play atleast one of the 2 games how many students like to play cricket or khokho​

Answer 1

Answer:

Hi,

n(AnB) = 27

Step-by-step explanation:

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 (AUB) = 70

Number of students who likes to play

both Cricket and

Kho-kho = n (An B)

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

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

n (An B) = n(A) + n (B) - n (A UB)

= 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(AnB) = 27