in a class of 70 students 45 students like to play cricket 52 students like to play Kho Kho all the students like to play at least one of the two games how many students like to play cricket kho-kho
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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
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