यदि \(A=\{a,b,c,d\}\) और \(B=\{1,2,3\}\) हों तो (A) से (B) में ऐसे कितने फलन हैं जिनका परिसर ठीक ({1,2}) हो?

If \(A=\{a,b,c,d\}\) and \(B=\{1,2,3\}\), how many functions from (A) to (B) have range exactly ({1,2})?

Explanation opens after your attempt
Correct Answer

B. (14)

Step 1

Concept

Values must come only from (1) and (2), and both must appear. Hence the count is \(2^4-2=14\).

Step 2

Why this answer is correct

The correct answer is B. (14). Values must come only from (1) and (2), and both must appear. Hence the count is \(2^4-2=14\).

Step 3

Exam Tip

मान केवल (1) और (2) से आने चाहिए और दोनों आने चाहिए। इसलिए संख्या \(2^4-2=14\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{a,b,c,d\}\) और \(B=\{1,2,3\}\) हों तो (A) से (B) में ऐसे कितने फलन हैं जिनका परिसर ठीक ({1,2}) हो? / If \(A=\{a,b,c,d\}\) and \(B=\{1,2,3\}\), how many functions from (A) to (B) have range exactly ({1,2})?

Correct Answer: B. (14). Explanation: मान केवल (1) और (2) से आने चाहिए और दोनों आने चाहिए। इसलिए संख्या \(2^4-2=14\) है। / Values must come only from (1) and (2), and both must appear. Hence the count is \(2^4-2=14\).

Which concept should I revise for this Mathematics MCQ?

Values must come only from (1) and (2), and both must appear. Hence the count is \(2^4-2=14\).

What exam hint can help solve this Mathematics question?

मान केवल (1) और (2) से आने चाहिए और दोनों आने चाहिए। इसलिए संख्या \(2^4-2=14\) है।