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two element subsets MCQ Questions for Class 11
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Practice Questions
5 questions tagged with two element subsets.
यदि \(A=\{a,b,c,d\}\) है तो (\mathcal{P}(A)) में कितने दो तत्व वाले उपसमुच्चय होंगे?
If \(A=\{a,b,c,d\}\), how many two element subsets are in (\mathcal{P}(A))?
#sets
#power_set
#two_element_subsets
A (4)
B (5)
C (6)
D (8)
Explanation opens after your attempt
Step 1
Concept
Choosing two elements from four gives (6) subsets. For easy checking list all pairs.
Step 2
Why this answer is correct
The correct answer is C. (6). Choosing two elements from four gives (6) subsets. For easy checking list all pairs.
Step 3
Exam Tip
चार तत्वों में से दो चुनने पर (6) उपसमुच्चय बनते हैं। आसान गिनती के लिए सभी जोड़े बनाकर जांचें।
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यदि \(A=\{1,2,3\}\) है तो (\mathcal{P}(A)) में कितने दो तत्व वाले उपसमुच्चय होंगे?
If \(A=\{1,2,3\}\) then how many two element subsets are in (\mathcal{P}(A))?
#sets
#power_set
#two_element_subsets
A (1)
B (2)
C (3)
D (6)
Explanation opens after your attempt
Step 1
Concept
The two element subsets are ({1,2},{1,3},{2,3}). So the number is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). The two element subsets are ({1,2},{1,3},{2,3}). So the number is (3).
Step 3
Exam Tip
दो तत्व वाले उपसमुच्चय ({1,2},{1,3},{2,3}) हैं। इसलिए संख्या (3) है।
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यदि \(A=\{1,2,3,4\}\) है तो (P(A)) में दो अवयवों वाले कितने समुच्चय होंगे?
If \(A=\{1,2,3,4\}\) then how many two element sets will be in (P(A))?
#sets
#power-set
#two-element-subsets
A (4)
B (6)
C (8)
D (16)
Explanation opens after your attempt
Step 1
Concept
(P(A)) contains all subsets of (A), and the number of two element subsets is \(\binom{4}{2}=6\). The question is not asking the total size of the power set.
Step 2
Why this answer is correct
The correct answer is B. (6). (P(A)) contains all subsets of (A), and the number of two element subsets is \(\binom{4}{2}=6\). The question is not asking the total size of the power set.
Step 3
Exam Tip
(P(A)) में (A) के सभी उपसमुच्चय होते हैं और दो अवयव चुनने की संख्या \(\binom{4}{2}=6\) है। यहां पूरी शक्ति समुच्चय की संख्या नहीं पूछी गई है।
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यदि \(A=\{1,2,3,4,5\}\) है तो (A) के दो अवयवों वाले उपसमुच्चयों की संख्या कितनी है?
If \(A=\{1,2,3,4,5\}\) then how many two element subsets does (A) have?
#sets
#two-element-subsets
#combinations
A (5)
B (10)
C (15)
D (20)
Explanation opens after your attempt
Step 1
Concept
The number of ways to choose two elements is \(\binom{5}{2}=10\). Order is not counted in subsets.
Step 2
Why this answer is correct
The correct answer is B. (10). The number of ways to choose two elements is \(\binom{5}{2}=10\). Order is not counted in subsets.
Step 3
Exam Tip
दो अवयव चुनने की संख्या \(\binom{5}{2}=10\) होती है। उपसमुच्चय में क्रम नहीं गिना जाता।
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समुच्चय \(A=\{1,2,3\}\) के दो अवयवों वाले उपसमुच्चयों की संख्या कितनी है?
How many two-element subsets does \(A=\{1,2,3\}\) have?
#sets
#two element subsets
#counting
A (2)
B (3)
C (4)
D (6)
Explanation opens after your attempt
Step 1
Concept
We need subsets containing exactly two elements.
Step 2
Why this answer is correct
They are ({1,2},{1,3},{2,3}), so there are (3).
Step 3
Exam Tip
Order does not matter in a subset. चरण 1: दो अवयवों वाले उपसमुच्चय चुनने हैं। चरण 2: वे ({1,2},{1,3},{2,3}) हैं, कुल (3)। चरण 3: उपसमुच्चय में क्रम का महत्व नहीं होता।
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