D. A
survey conducted among 560 youth of Kaski, it was found that 320 liked to play
football,300 liked to play volleyball and 500 liked to play at least one of the games.
i. Find the number of youth who liked to play both games.
ii. Find the number of youth who do not like to play both games.
iii. Show the above information in a Venn-diagram.

Step-by-step explanation:

total subject = S = 560

football = 320

volleyball = 300

all people like at least one games = 500

i. both games (b)

football only = 320 - b

volleyball only = 300 - b

so

500 = (320 - b) + (200 - b) + b

500 = 320 - b + 200 - b + b

500 = 520 - b

b = 520 - 500 = 20 people

ii. do not like play both games

S - All people like = 560 - 500 = 60 people