Question

In a survey of 500 television viewers, the following information was collected football matches 285, hockey matches 195, basketball matches 115, football and basketball matches 45,football and hockey 70,hockey and basketball 50,none of the game 50.How many viewers watch all the three games?How many viewers watch exactly one of the three games?

Answer 1

Sorry I do t know ..,...

Answer 2

Answer:

Step-by-step explanation:

Let F denote people watch football.

H denotes people watch hockey.

B denotes people watch basketball.

Now,

|F|=285

|H|=195

|B|=115

|FՈH| =70

|FՈB| =45

|HՈB| =50

(|F U H U B|)'=50

|F Ո H Ո B| = |F U H U B|-|F|-|H|-|B|+| F Ո H |+| H Ո B |+|F Ո B| =20

Hence, 20 viewers watch all 3 kinds of games.

|F – H- B|=|F| - | F Ո H |-| F Ո B |+| F Ո H Ո B |=190

|H – B - F|=95

|B – F - H|=40

Hence, No of viewers who watch exactly one of the sports = 190+95+40 = 325

Plz mark this ans as brainliest plz