(5) लड़कों और (5) लड़कियों में से (1) लड़का और (1) लड़की चुनने के कितने तरीके हैं?

From (5) boys and (5) girls, in how many ways can (1) boy and (1) girl be selected?

Explanation opens after your attempt
Correct Answer

C. (25)

Step 1

Concept

The ways are \(\binom{5}{1}\binom{5}{1}=25\). The two selections are independent, so multiply.

Step 2

Why this answer is correct

The correct answer is C. (25). The ways are \(\binom{5}{1}\binom{5}{1}=25\). The two selections are independent, so multiply.

Step 3

Exam Tip

तरीके \(\binom{5}{1}\binom{5}{1}=25\) हैं। दोनों चयन स्वतंत्र हैं इसलिए गुणा करें।

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Mathematics Answer, Explanation and Revision Hints

(5) लड़कों और (5) लड़कियों में से (1) लड़का और (1) लड़की चुनने के कितने तरीके हैं? / From (5) boys and (5) girls, in how many ways can (1) boy and (1) girl be selected?

Correct Answer: C. (25). Explanation: तरीके \(\binom{5}{1}\binom{5}{1}=25\) हैं। दोनों चयन स्वतंत्र हैं इसलिए गुणा करें। / The ways are \(\binom{5}{1}\binom{5}{1}=25\). The two selections are independent, so multiply.

Which concept should I revise for this Mathematics MCQ?

The ways are \(\binom{5}{1}\binom{5}{1}=25\). The two selections are independent, so multiply.

What exam hint can help solve this Mathematics question?

तरीके \(\binom{5}{1}\binom{5}{1}=25\) हैं। दोनों चयन स्वतंत्र हैं इसलिए गुणा करें।