Question

1. In a survey of 85 families, it is found that 35 read Hindi newspaper, 28 read Marathi, 32 read English, 12 read Hindi and Marathi, 15 read Hindi and English, 18 read English and Marathi and 5 read all the three language newspapers. Find the following: (i) Number of families reading at least one newspaper. (ii) Number of families reading exactly one newspaper.
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Answer 1

Answer:

55, 20

Step-by-step explanation:

Hindi, H = 35

Marathi, M = 28

English, E = 32

Consider ï as intersection symbol and ü as union symbol, then

Hindi and Marathi, H ï M = 12

Hindi and English, H ï E = 15

English and Marathi, E ï M = 18

All three, E ï M ï H = 5

(I) Number of families reading at least one newspaper =>

H + E + M - (H ï M) - (H ï E) - (E ï M) + (E ï M ï H)

= 35 + 32 + 28 - 12 - 15 - 18 + 5

= 55

(2) Number of families reading exactly one newspaper paper =>

H + E + M - 2 × [(H ï M) + (H ï E) + (E ï M)] + 3 × (E ï M ï H)

= 35 + 32 + 28 - 2 × [12 + 15 + 18] + 3 × 5

= 20

Answer 2

solve the question chapter 1 sets