Question

a class of 70 students, 45 students like to play Cricket. 52 students like to play Kho-kho. All the students like to play atleast one of the two games. How many nstudents like to play Cricket or Kho-kho ? How many students like to play only Cricket ?​

Answer 1

We will solve this example in two ways.

$\leadsto$ 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 ⋃ B )

$\leadsto$ n (A ⋃ B ) = 70

Number of students who likes to play both Cricket and Kho-kho = n (A ⋂ B)

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

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

n (A ⋂ B) = n (A) + n (B) - n (A ⋃ 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 ⋂ B is the set of students who play both the games.

$\implies$ n (A ⋂ B)= 27

Answer 2

Answer:

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