Out of 1020 boys in a school, 406 play cricket, 324 play hockey and 250 play football. 80 boys play cricket and hockey, 64 play hockey and football, 92 play football and cricket. While 30 play all the three games, find:
i) number of boys who play at least one of the games.
ii) number of boys who none of the games.
iii) number of boys who play football but not cricket.
iv) number of boys playing only hockey.
v) number of boys playing cricket but not hockey.

Dear Student,

Please find below the solution to the asked query:

Total Boys =1020Number of boys who play only Hockey=324-80 +30+64=324-174=150Number of boys who play only football=250-64+30+92=250-186=64Number of boys who play only cricket=406-80+30+92=406-202=2041Number of student who play atleast one game=only hockey+cricket+football+who play football and hockey+who play hockey and cricket+who play cricket and football+who play all threeNumber of student who play atleast one game=150+64+204+64+92+80+30=6842Number of student who play none of the game=total-play atleast one gameNumber of student who play none of the game=1020-684=3363Number of boys who play cricket but not football=only cricket+who play cricket and hockeyNumber of boys who play cricket but not football=204+80=2844Number of boys who play only hockey=2025Number of boys who play cricket but not hockey=only cricket+who play cricket and footballNumber of boys who play cricket but not hockey=204+92=296

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