NCERT solution Class 11 sets

NCERT Solutions

Class 11 Maths

Sets

NCERT Questions

Ex.1.1 Q.1
Ex.1.1 Q.2
Ex.1.1 Q.3
Ex.1.1 Q.4
Ex.1.1 Q.5
Ex.1.1 Q.6
Ex.1.2 Q.1
Ex.1.2 Q.2
Ex.1.2 Q.3
Ex.1.2 Q.4
Ex.1.2 Q.5
Ex.1.2 Q.6
Ex.1.3 Q.1
Ex.1.3 Q.2
Ex.1.3 Q.3
Ex.1.3 Q.4
Ex.1.3 Q.5
Ex.1.3 Q.6
Ex.1.3 Q.7
Ex.1.3 Q.8
Ex.1.3 Q.9
Ex.1.4 Q.1
Ex.1.4 Q.2
Ex.1.4 Q.3
Ex.1.4 Q.4
Ex.1.4 Q.5
Ex.1.4 Q.6
Ex.1.4 Q.7
Ex.1.4 Q.7
Ex.1.4 Q.8
Ex.1.4 Q.9
Ex.1.4 Q.10
Ex.1.4 Q.11
Ex.1.4 Q.12
Ex.1.5 Q.1
Ex.1.5 Q.2
Ex.1.5 Q.3
Ex.1.5 Q.4
Ex.1.5 Q.5
Ex.1.5 Q.6
Ex.1.5 Q.7
Ex.1.6 Q.1
Ex.1.6 Q.2
Ex.1.6 Q.3
Ex.1.6 Q.4
Ex.1.6 Q.5
Ex.1.6 Q.6
Ex.1.6 Q.7
Ex.1.6 Q.8
Ex.Misc.Q.1
Ex.Misc.Q.2
Ex.Misc.Q.3
Ex.Misc.Q.4
Ex.Misc.Q.5
Ex.Misc.Q.6
Ex.Misc.Q.7
Ex.Misc.Q.8
Ex.Misc.Q.9
Ex.Misc.Q.10
Ex.Misc.Q.11
Ex.Misc.Q.12
Ex.Misc.Q.13
Ex.Misc.Q.14
Ex.Misc.Q.15
Ex.Misc.Q.16
Ex.3.3 Q.8

Ex.Misc.Q.15

In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I,

9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find:

(1) the number of people who read at least one of the newspapers.

(2) the number of people who read exactly one newspaper.

Let A be the set of people who read newspaper H. Let B be the set of people who read newspaper T.

Let C be the set of people who read newspaper I.

Accordingly,

n(A) = 25, n(B) = 26, n(C) = 26, n (A ∩ C) = 9, n (A ∩ B) = 11, n (B ∩ C) = 8, n (A ∩ B ∩ C) = 3

Let U be the set of people who took part in the survey.

(1) Accordingly,

n (A B C) = n(A) + n(B) + n(C) – n (A ∩ B) – n (B ∩ C) – n (C ∩ A) + n (A ∩ B ∩ C)

= 25 + 26 + 26 – 11 – 8 – 9 + 3

= 52

Hence, 52 people read at least one of the newspapers.

(2) Let a be the number of people who read newspapers H and T only.

Let b denote the number of people who read newspapers I and H only.

Let c denote the number of people who read newspapers T and I only.

Let d denote the number of people who read all three newspapers.

Accordingly, d = n (A ∩ B ∩ C) = 3

Now, n (A ∩ B) = a + d

n (B ∩ C) = c + d

n (C ∩ A) = b + d

So, a + d + c + d + b + d = 11 + 8 + 9 = 28

=> a + b + c + d = 28 – 2d = 28 – 6 = 22

Hence, (52 – 22) = 30 people read exactly one newspaper.

Video solution:

Sets Class 11 Maths NCERT Chapter 1 NCERT Solutions

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By following these steps and actively engaging with the NCERT solutions module of Class 11 Maths Sets NCERT Chapter 1, you can improve your learning outcomes, develop a better grasp of the subject, and perform well in exams and other academic assessments. Remember that consistent practice, understanding, and application of knowledge are key to academic success.

NCERT solutions of Sets Class 11 Maths - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 11 Maths Sets NCERT solutions.