Advertisements
Advertisements
प्रश्न
In a class of 60 students, 25 students play cricket and 20 students play tennis, and 10 students play both the games. Find the number of students who play neither?
Advertisements
उत्तर
Given: Total number of students are 60
Students who play cricket and tennis are 25 and 20 respectively
Students who play both the games are 10
To find: Number of students who play neither
Let S be the total number of students
C and T be the number of students who play cricket and tennis respectively
n(S) = 60
n(C) = 25
n(T) = 20
n(C ∩ T) = 10
Number of students who play either of them = n(C ∪ T)
= n(C) + n(T) – n(C ∩ T)
= 25 + 20 – 10
= 35
Number of student who play neither
= Total – n(C ∪ T)
= 60 – 35
= 25
Hence, there are 25 students who play neither cricket nor tennis.
APPEARS IN
संबंधित प्रश्न
Identify whether the following is set or not? Justify your answer.
A team of eleven best-cricket batsmen of the world.
Identify whether the following is set or not? Justify your answer.
A collection of novels written by the writer Munshi Prem Chand.
Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank space:
5 _____ A
List all the elements of the following set:
D = {x : x is a letter in the word “LOYAL”}
Which of the following collection is set? Justify your answer:
The collection of ten most talented writers of India.
Which of the following collection are sets? Justify your answer:
The collection of all question in this chapter.
If A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], then insert the appropriate symbol ∈ or ∉ in each of the following blank space:
−2 ...... A
Describe the following set in Roster form:
The set of all letters in the word 'Trigonometry'
Describe the following sets in set-builder form:
B={1,1/2 ,1/3, 1/4,1/5,...........};
Describe the following sets in set-builder form:
C = {0, 3, 6, 9, 12, ...}
Describe the following sets in set-builder form:
{1, 4, 9, 16, ..., 100}
Describe the following sets in set-builder form:
{5, 25, 125 625}
List all the elements of the following set:
F = {x : x is a letter of the word "MISSISSIPPI"}
Which of the following statement are correct?
Write a correct form of each of the incorrect statement.
\[\left\{ b, c \right\} \subset \left\{ a, \left\{ b, c \right\} \right\}\]
Which of the following statemen are correct?
Write a correct form of each of the incorrect statement.
\[\left\{ a, b \right\} \subset \left\{ a, \left\{ b, c \right\} \right\}\]
Let A = {{1, 2, 3}, {4, 5}, {6, 7, 8}}. Determine which of the following is true or false:
\[1 \in A\]
Write down all possible subsets of each of the following set:
{a}
If A is any set, prove that: \[A \subseteq \phi \Leftrightarrow A = \phi .\]
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, = {2, 4, 6, 8} and C = {3, 4, 5, 6}.
Find \[\left( A \cap C \right)'\]
Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank space:
8 ____ A
Describe the following set in Roster form
A = {x/x is a letter of the word 'MOVEMENT'}
Describe the following set in Set-Builder form
{0, ±1, ±2, ±3}
If A = {x/6x2 + x – 15 = 0}, B = {x/2x2 – 5x – 3 = 0}, C = {x/2x2 – x – 3 = 0} then find (A ∩ B ∩ C)
There are 260 persons with skin disorders. If 150 had been exposed to chemical A, 74 to chemical B, and 36 to both chemicals A and B, find the number of persons exposed to Chemical A but not Chemical B
Write the following interval in Set-Builder form
`(-∞, 5]`
Write the following interval in Set-Builder form.
(2, 5]
Answer the following:
Write down the following set in set-builder form
{10, 20, 30, 40, 50}
Answer the following:
Write down the following set in set-builder form
{a, e, i, o, u)
Answer the following:
In a school there are 20 teachers who teach Mathematics or Physics. Of these, 12 teach Mathematics and 4 teach both Physics and Mathematics. How many teachers teach Physics?
Write the following sets in the roaster form.
C = {x : x2 + 7x – 8 = 0, x ∈ R}
State which of the following statement are true and which are false. Justify your answer.
37 ∉ {x | x has exactly two positive factors}
Write the following sets in the roaster from:
B = {x | x2 = x, x ∈ R}
Write the following sets in the roaster from:
C = {x | x is a positive factor of a prime number p}
Write the following sets in the roaster form:
D = {t | t3 = t, t ∈ R}
Determine whether the following statement is true or false. Justify your answer.
For all sets A, B, and C, A – (B – C) = (A – B) – C
Let F1 be the set of parallelograms, F2 the set of rectangles, F3 the set of rhombuses, F4 the set of squares and F5 the set of trapeziums in a plane. Then F1 may be equal to ______.
Let R be set of points inside a rectangle of sides a and b (a, b > 1) with two sides along the positive direction of x-axis and y-axis. Then ______.
The set {x ∈ R : 1 ≤ x < 2} can be written as ______.
Given A = {0, 1, 2}, B = {x ∈ R | 0 ≤ x ≤ 2}. Then A = B.
