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InterviewSolution
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Q13. There are 2000 students in a school, out of these 1000 play cricket, 600 play basketball and 5s0play football, 120 play cricket and basketball 80 play basketball and football, 150 plfootball and 45 play all the three games. How many students play(i) none of the three games? t(ii) exactly one of the three games ?iii) at least one game |
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Answer» U=2000 Cricket(c)=1000 Basketball(b)=600 Football(f)=550 C nB nF'=120 BnFnC'=80 CnFnB'=150 CnBnF=45 Secondly,put variables in the set of cricket,football and basketball only respectively A for cricket only;B for basketball only and C for cricket only a A+105+75+45=1000 A+225=1000 (use the principle of change of subject then arrive at) A=775 B+75+45+35=600 B=445 C+105+45+35=550 C=365 Now to find the students who play none of the games, add everything in the set and add another variable(x) to replace the number of students who play none of the games It becomes A+B+C+x+45+35+75=2000 775+445+365+260+x=2000 1845+x=2000(make x the subject) x=1845 therefore 1846 students played none of the games (ii)exactly one=A+B+C 775+445+365=1585 therefore 1585 played exactly one games (iii)exactly two=105+75+35 =215 therefore 215 played exactly two games |
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