A T-V- survey says 136 students watch only programme P 2- 27 watch only programme P 3- 25 students watch P 1 and P 2 but not P 3- 37 watch P 2 and P 3 but not P 1 53 students watch P 1 and P 3- but not P 2- 40 students watch all three programmes and 80 students do not watch any programme- Find- with the help of Venn diagram-i Number of P 1 viewers-ii Number of P 2 or P 3 viewers-iii Total number of viewers surveyed-

From the Venn diagram given below, we will solve the following problems: (i) Number of P1 viewers = 136 + 25 + 40 + 53 = 254 (ii) Number of P2 or P3 viewers ...

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Standard IX

Mathematics

Frequency Polygon

A T.V. survey...

Question

A T.V. survey says 136 students watch only programme P₂, 27 watch only programme P₃, 25 students watch P₁ and P₂ but not P₃, 37 watch P₂ and P₃ but not P₁ 53 students watch P₁ and P₃, but not P₂, 40 students watch all three programmes and 80 students do not watch any programme. Find, with the help of Venn diagram.
(i) Number of P₁ viewers.
(ii) Number of P₂ or P₃ viewers.
(iii) Total number of viewers surveyed.

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Solution

From the Venn diagram given below, we will solve the following problems:

(i) Number of P₁ viewers = 136 + 25 + 40 + 53 = 254

(ii) Number of P₂or P₃viewers = 27 + 53 + 37 + 25 + 107 + 40 = 289

(iii) Total number of viewers surveyed = 80 + 136 + 25 + 40 + 53 + 107 + 37 + 27 = 505

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From the Venn diagram given below, we will solve the following problems: (i) Number of P1 viewers = 136 + 25 + 40 + 53 = 254 (ii) Number of P2 or P3 viewers = 27 + 53 + 37 + 25 + 107 + 40 = 289 (iii) Total number of viewers surveyed = 80 + 136 + 25 + 40 + 53 + 107 + 37 + 27 = 505

From the Venn diagram given below, we will solve the following problems:

(i) Number of P₁ viewers = 136 + 25 + 40 + 53 = 254

(ii) Number of P₂or P₃viewers = 27 + 53 + 37 + 25 + 107 + 40 = 289

(iii) Total number of viewers surveyed = 80 + 136 + 25 + 40 + 53 + 107 + 37 + 27 = 505