Question

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In a survey of 1000 boys conducted in an area, it is
found that 65% play Cricket, 48% play Football and
40% play Hockey. Of the total, 30% play both Football
and Cricket, 25% play Football and Hockey, while 24%
play Cricket and Hockey. Only 5% do not play any of
the three games.
Find the number of players who play Football
but not Hockey. Step by Step​

Answer 1

Answer:

Step-by-step explanation:This data is wrong as Only Hockey can not be 48

Only H = H  - H∩C - F∩H +  (F∩H∩C)

=> only H = 48 - 30 - 42 + 8 = -16

Which is not possible Let say 48 is 84

Total Students = F + H + C - H∩C - F∩C - F∩H + (F∩H∩C) + (F'∩H'∩C')

=> 140 = 60 + 84 + 75 - 30 - 18 - 42 + 8 + (F'∩H'∩C')

=> 140 = 137 + (F'∩H'∩C')

=> (F'∩H'∩C') = 3

students who do not play any of these three games. = 39

only C = C  - H∩C - F∩C + (F∩H∩C)

=> only C = 75 - 30 - 18 + 8

=> only C = 35

Students who play football and hockey, but not cricket = F∩H - (F∩H∩C) = 42 - 8 = 34