Question

Out of a group of 60 students, 25 play cricket, 30 play football, 24 play hockey, 10 play cricket & football, 9 play cricket & hockey, 12 play hockey & football and 5 play all the three games. use venn diagram to find out, 
(i) How many play only cricket?
(ii) How many play only football?
(iii) How many play only hockey?
(iv) How many play cricket & football but not hockey?
(v) How many play football & hockey but not cricket?
(vi) How many play cricket & hockey but not football?
(vii) Number of students who play atleast one of the game?
(viii) Number of students who play exactly one game?
(ix) Number of students who donot take part in any of the game?​

Answer 1

$\Huge{\bf{\mathtt{\pink{AnSweR}}}}$

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$\:\:\:\:$

$\LARGE{\bf{\mathtt{\purple{QuEsTiOn1}}}}$

How many play only Cricket?

➜ 06 students.

$\:\:\:$

$\LARGE{\bf{\mathtt{\purple{QuEsTiOn2}}}}$

How many play only football?

➜ 30 students.

$\:\:\:$

$\LARGE{\bf{\mathtt{\purple{QuEsTiOn3}}}}$

How many play only hockey?

➜ 24 students.

$\:\:\:$

$\LARGE{\bf{\mathtt{\purple{QuEsTiOn4}}}}$

How many play cricket and hockey , but not foot ball?

➜ 09 students.

$\:\:\:$

$\LARGE{\bf{\mathtt{\purple{QuEsTiOn5}}}}$

How many play football and hockey but not cricket?

➜ 12 students.

$\:\:\:$

$\LARGE{\bf{\mathtt{\purple{QuEsTiOn6}}}}$

How many play cricket and football but not hockey?

➜ 10 students.

$\:\:\:$

$\LARGE{\bf{\mathtt{\purple{QuEsTiOn7}}}}$

Number of students who play atleast one game?

➜ 06 Students.

$\:\:\:$

$\LARGE{\bf{\mathtt{\purple{QuEsTiOn8}}}}$

Number of students who play exactly one game?

➜ 09 Students

$\:\:\:$

$\LARGE{\bf{\mathtt{\purple{QuEsTiOn9}}}}$

Number of students who don't take part in any game?

➜ 05 Students.

$\;\:\'$

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Answer 2

Answer:

i) 25 students

ii) 30 students

iii) 24 students

iv) 10 students

v) 12 students

vi) 9 students

vii) 60 student

viii) 79 students