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binary function MCQ Questions for Class 11

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3 questions tagged with binary function.

Question 1/3 Expert Mathematics Relations and Functions Functions as a special kind of relation Class 11 Level 30

यदि \(A=\{1,2,3,4,5,6\}\) और \(B=\{0,1\}\) हों, तो कितने फलन \(f:A\to B\) ऐसे हैं जिनमें कम से कम (3) इनपुटों की छवि (1) हो?

If \(A=\{1,2,3,4,5,6\}\) and \(B=\{0,1\}\), how many functions \(f:A\to B\) have at least (3) inputs with image (1)?

Explanation opens after your attempt
Correct Answer

C. (42)

Step 1

Concept

There are \(2^6=64\) total functions. Excluding cases with (0,1,2) occurrences of (1), namely (1+6+15=22), leaves (42).

Step 2

Why this answer is correct

The correct answer is C. (42). There are \(2^6=64\) total functions. Excluding cases with (0,1,2) occurrences of (1), namely (1+6+15=22), leaves (42).

Step 3

Exam Tip

कुल \(2^6=64\) फलन हैं। (0,1,2) बार (1) आने वाले (1+6+15=22) हटाने पर (42) बचते हैं।

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Question 2/3 Expert Mathematics Relations and Functions Functions as a special kind of relation Class 11 Level 29

यदि \(A=\{1,2,3,4,5\}\) और \(B=\{0,1\}\) हों, तो कितने फलन \(f:A\to B\) ऐसे हैं जिनमें कम से कम दो इनपुटों की छवि (1) हो?

If \(A=\{1,2,3,4,5\}\) and \(B=\{0,1\}\), how many functions \(f:A\to B\) have at least two inputs with image (1)?

Explanation opens after your attempt
Correct Answer

B. (26)

Step 1

Concept

There are \(2^5=32\) total functions. Excluding cases with (0) or (1) occurrence of (1), namely (1+5=6), leaves (26).

Step 2

Why this answer is correct

The correct answer is B. (26). There are \(2^5=32\) total functions. Excluding cases with (0) or (1) occurrence of (1), namely (1+5=6), leaves (26).

Step 3

Exam Tip

कुल \(2^5=32\) फलन हैं। (0) या (1) बार (1) आने वाले (1+5=6) फलन हटाने पर (26) बचते हैं।

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Question 3/3 Expert Mathematics Relations and Functions Functions as a special kind of relation Class 11 Level 28

यदि \(A=\{1,2,3,4\}\) और \(B=\{0,1\}\) हों तो कितने फलन \(f:A\to B\) ऐसे हैं जिनमें कम से कम एक इनपुट की छवि (1) हो?

If \(A=\{1,2,3,4\}\) and \(B=\{0,1\}\), how many functions \(f:A\to B\) have at least one input with image (1)?

Explanation opens after your attempt
Correct Answer

C. (15)

Step 1

Concept

There are \(2^4=16\) total functions, and only the all-zero function is excluded. Hence there are (15) functions.

Step 2

Why this answer is correct

The correct answer is C. (15). There are \(2^4=16\) total functions, and only the all-zero function is excluded. Hence there are (15) functions.

Step 3

Exam Tip

कुल \(2^4=16\) फलन हैं और केवल सभी मान (0) वाला (1) फलन हटेगा। इसलिए (15) फलन हैं।

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