यदि \(A=\{1,2,3,4,5\}\) और \(B=\{0,1\}\) हों तो (A) से (B) में ऐसे कितने फलन हैं जिनमें (f(1)+f(2)+f(3)+f(4)+f(5)=2) हो?

If \(A=\{1,2,3,4,5\}\) and \(B=\{0,1\}\), how many functions from (A) to (B) satisfy (f(1)+f(2)+f(3)+f(4)+f(5)=2)?

Explanation opens after your attempt
Correct Answer

B. (10)

Step 1

Concept

Exactly two of the five positions must have value (1). The count is \(\binom{5}{2}=10\).

Step 2

Why this answer is correct

The correct answer is B. (10). Exactly two of the five positions must have value (1). The count is \(\binom{5}{2}=10\).

Step 3

Exam Tip

पांच स्थानों में ठीक दो स्थानों पर मान (1) होना चाहिए। संख्या \(\binom{5}{2}=10\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5\}\) और \(B=\{0,1\}\) हों तो (A) से (B) में ऐसे कितने फलन हैं जिनमें (f(1)+f(2)+f(3)+f(4)+f(5)=2) हो? / If \(A=\{1,2,3,4,5\}\) and \(B=\{0,1\}\), how many functions from (A) to (B) satisfy (f(1)+f(2)+f(3)+f(4)+f(5)=2)?

Correct Answer: B. (10). Explanation: पांच स्थानों में ठीक दो स्थानों पर मान (1) होना चाहिए। संख्या \(\binom{5}{2}=10\) है। / Exactly two of the five positions must have value (1). The count is \(\binom{5}{2}=10\).

Which concept should I revise for this Mathematics MCQ?

Exactly two of the five positions must have value (1). The count is \(\binom{5}{2}=10\).

What exam hint can help solve this Mathematics question?

पांच स्थानों में ठीक दो स्थानों पर मान (1) होना चाहिए। संख्या \(\binom{5}{2}=10\) है।