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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएसएसएलसी (अंग्रेजी माध्यम) कक्षा ९

In a party of 45 people, each one likes tea or coffee or both. 35 people like tea and 20 people like coffee. Find the number of people who do not like tea - Mathematics

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प्रश्न

In a party of 45 people, each one likes tea or coffee or both. 35 people like tea and 20 people like coffee. Find the number of people who do not like tea

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उत्तर

Let ’T’ be the set of people like Tea

Let ‘C’ be the set of people like Coffee

n(T ∩ C) = 45, n(T) = 35 and n(C) = 20

Let X be the number of people like both Tea and Coffee.

By using the Venn-diagram

From the Venn-diagram we get.

35 – x + x + 20 – x = 45

55 – x = 45

55 – 45 = x

10 = x

People do not like tea

= 20 – x

= 20 – 10

= 10

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अध्याय 1: Set Language - Exercise 1.6 [पृष्ठ ३५]

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सामाचीर कलवी Mathematics [English] Class 9 TN Board
अध्याय 1 Set Language
Exercise 1.6 | Q 5. (ii) | पृष्ठ ३५

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