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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
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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संबंधित प्रश्न
Write the cardinal number of the following set:
E = {16, 17, 18 19}
Given:
A = {Natural numbers less than 10}
B = {Letters of the word ‘PUPPET’}
C = {Squares of first four whole numbers}
D = {Odd numbers divisible by 2}.
Find: n(B)
Given:
A = {Natural numbers less than 10}
B = {Letters of the word ‘PUPPET’}
C = {Squares of first four whole numbers}
D = {Odd numbers divisible by 2}.
Find: n(D)
Given:
A = {Natural numbers less than 10}
B = {Letters of the word ‘PUPPET’}
C = {Squares of first four whole numbers}
D = {Odd numbers divisible by 2}.
Find: n(B ∪ D)
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