(30) संख्याओं की लॉटरी में (6) विजेता संख्याएं हैं। (6) संख्याओं के टिकट में ठीक (4) विजेता संख्याएं आने के कितने तरीके हैं?

In a lottery of (30) numbers, (6) numbers are winning numbers. How many (6)-number tickets contain exactly (4) winning numbers?

Explanation opens after your attempt
Correct Answer

C. (4140)

Step 1

Concept

Choose (4) winning numbers and (2) numbers from the (24) non-winning numbers. The count is \(^{6}C_{4}\times{}^{24}C_{2}=4140\).

Step 2

Why this answer is correct

The correct answer is C. (4140). Choose (4) winning numbers and (2) numbers from the (24) non-winning numbers. The count is \(^{6}C_{4}\times{}^{24}C_{2}=4140\).

Step 3

Exam Tip

विजेता संख्याओं में से (4) और गैर-विजेता (24) में से (2) चुनें। संख्या \(^{6}C_{4}\times{}^{24}C_{2}=4140\)।

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Mathematics Answer, Explanation and Revision Hints

(30) संख्याओं की लॉटरी में (6) विजेता संख्याएं हैं। (6) संख्याओं के टिकट में ठीक (4) विजेता संख्याएं आने के कितने तरीके हैं? / In a lottery of (30) numbers, (6) numbers are winning numbers. How many (6)-number tickets contain exactly (4) winning numbers?

Correct Answer: C. (4140). Explanation: विजेता संख्याओं में से (4) और गैर-विजेता (24) में से (2) चुनें। संख्या \(^{6}C_{4}\times{}^{24}C_{2}=4140\)। / Choose (4) winning numbers and (2) numbers from the (24) non-winning numbers. The count is \(^{6}C_{4}\times{}^{24}C_{2}=4140\).

Which concept should I revise for this Mathematics MCQ?

Choose (4) winning numbers and (2) numbers from the (24) non-winning numbers. The count is \(^{6}C_{4}\times{}^{24}C_{2}=4140\).

What exam hint can help solve this Mathematics question?

विजेता संख्याओं में से (4) और गैर-विजेता (24) में से (2) चुनें। संख्या \(^{6}C_{4}\times{}^{24}C_{2}=4140\)।