in a survey,1000 boys playing outdoor games of. football, cricket and hockey were recorded. each boy plays any one of the games. 400 didn't play hockey, 370 didn't play cricket and 550 didn't touch football. Also 300 played both football and cricket, 270 played both cricket and hockey and 200 both hockey and football. how many boys played all the three games? how many of them played only football
Answers
Answer:
The final answer is 40.
Step-by-step explanation:
Given,
Total number of boys playing = 1000
Total number of boys not playing Hockey = 400
Total number of boys playing Hockey = 1000 - 400 = 600
Total number of boys not playing Cricket = 370
Total number of boys playing Cricket = 1000 - 370 = 630
Total number of boys not playing Football = 550
Total number of boys playing Football = 1000 - 550 = 450
Total number of boys playing both football and cricket = 300
Total number of boys playing both cricket and hockey = 270
Total number of boys playing both hocket and football = 200
Total number of boys playing all sports = 1000 + 200 + 300 + 270 - 600 - 630 - 450 = 90
Total number of boys playing only football = 450 + 90 - 300 - 200 = 40
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