In a survey of 1000 households, 275 owned a home computer, 455 a video, 405 two cars, and 265 households owned neither a home computer, nor a video, nor two cars. Given that 145 households owned both a home computer and a video, 195 both a video and two cars, and 110 both two cars and a home computer, find the number of 3. households surveyed which owned: (i) (ii) (iii) two cars, a video but not a home computer: (iv) a home computer, a video and two cars: a video only: a video, a home computer but not two cars.

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electronics
video and two cars, and 110 both two cars and a home computer, find the number of
Given that 145 households owned both a home computer and a video, 195 both a
cars, and 265 households owned neither a home computer, nor a video. nor two cars.
accounting, and 15 study electronics and accounting, find the number who study:
onics. 25 study mathematics and
accounting. 20 study mathematic
dy electronics, 42 study
(i)
all three subsidiary subjects:
mathematics and electronics but not accounting:
(ii)
(iii) only electronics as a subsidiary subject
3. In a survey of 1000 households, 275 owned a home computer. 455 a v
cars, and 265 households owned neither a home computer, nor a video
video and two cars, and I10 both two cars and a home computer, find the nuh a
households surveyed which owned:
(i)
(ii)
a home computer, a video and two cars;
0 a video only:
(ii)
two cars, a video but not a home computer:
(iv) a video, a home computer but not two cars.
4.
In a certain village, there are three sports clubs: the soccer club, the rugby club and
the cricket club. Everyone who belongs to the cricket club also belongs to the soccer
club or rugby club (or both). The following additional information is known:
42 people belong to the soccer club:
45 people belong to the rugby club:
people belong to both the soccer and rugby clubs;
11 people belong to both the soccer and cricket clubs:
28 people belong to both the rugby and cricket clubs: twice as many people belong
only to the soccer club as belong only to the rugby club.
Find the number of people in the village who belong to
(i) all three clubs
(ii) the cricket club
(iii) only the soccer club.
A club has 160 members, some of whom play tennis (T) or cricket (C) e
d 10 play neither, x play both tennis and cri
AI SPARK
Transcribed Image Text:electronics video and two cars, and 110 both two cars and a home computer, find the number of Given that 145 households owned both a home computer and a video, 195 both a cars, and 265 households owned neither a home computer, nor a video. nor two cars. accounting, and 15 study electronics and accounting, find the number who study: onics. 25 study mathematics and accounting. 20 study mathematic dy electronics, 42 study (i) all three subsidiary subjects: mathematics and electronics but not accounting: (ii) (iii) only electronics as a subsidiary subject 3. In a survey of 1000 households, 275 owned a home computer. 455 a v cars, and 265 households owned neither a home computer, nor a video video and two cars, and I10 both two cars and a home computer, find the nuh a households surveyed which owned: (i) (ii) a home computer, a video and two cars; 0 a video only: (ii) two cars, a video but not a home computer: (iv) a video, a home computer but not two cars. 4. In a certain village, there are three sports clubs: the soccer club, the rugby club and the cricket club. Everyone who belongs to the cricket club also belongs to the soccer club or rugby club (or both). The following additional information is known: 42 people belong to the soccer club: 45 people belong to the rugby club: people belong to both the soccer and rugby clubs; 11 people belong to both the soccer and cricket clubs: 28 people belong to both the rugby and cricket clubs: twice as many people belong only to the soccer club as belong only to the rugby club. Find the number of people in the village who belong to (i) all three clubs (ii) the cricket club (iii) only the soccer club. A club has 160 members, some of whom play tennis (T) or cricket (C) e d 10 play neither, x play both tennis and cri AI SPARK
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