Please solve this sum
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Let A be the set of people who can speak Hindi.
Let B be the set of people who can speak Tamil.
Given,
Total number of people n(A U B) = 850.
Number of people who can speak Hindi n(A) = 600
Number of people who can speak Tamil n(B) = 350.
(1)
Number of people who can speak Hindi and Tamil n(A U B) = n(A) + n(B) - n(A int B)
= > 850 = 600 + 350 - n(A int B)
= > 850 = 950 - n(A int B)
= > n(A int B) = 100.
(2)
Number of persons who can speak only hindi = 600 - 100
= 500.
(3) Number of persons who can speak only Tamil = 350 - 100
= 250.
Hope this helps!
Let B be the set of people who can speak Tamil.
Given,
Total number of people n(A U B) = 850.
Number of people who can speak Hindi n(A) = 600
Number of people who can speak Tamil n(B) = 350.
(1)
Number of people who can speak Hindi and Tamil n(A U B) = n(A) + n(B) - n(A int B)
= > 850 = 600 + 350 - n(A int B)
= > 850 = 950 - n(A int B)
= > n(A int B) = 100.
(2)
Number of persons who can speak only hindi = 600 - 100
= 500.
(3) Number of persons who can speak only Tamil = 350 - 100
= 250.
Hope this helps!
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