Question

there are 2000 students in a school.out of which 1000 play cricket,550 play football,600 play basketball,120 play cricket and basketball,80 pls basketball,150 play cricket and football,45 play all the three.How many of them play none of them????

Answer 1

See the attached file

Answer 2

Answer:

Number of students who play none of the three games

= 155

Step-by-step explanation:

Total students in the school (U) = 2000

Number of cricket players =n(C) = 1000,

Number of Football players =n(F) = 550,

Number of Basketball players =n(B) = 600,

Number of students who play cricket and Basketball =n(CnB)=120,

Number of students who play Basketball and Football =n(BnF)=80,

Number of students who play cricket and football =n(CnF)=150,

Number of students who play all the three games =n(CnBnF)=45,

Now ,

n(CUBUF)= n(C)+n(B)+n(F)-n(CnB)-n(BnF)-n(CnF)+n(CnFnB)

= 1000+600+550-120-80-150+45

= 2195 -350

= 1845

Now ,.

Number of students who play none of the three games = U-n(CUBUF)

= 2000-1845

= 155

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