(6) लाल और (5) नीली गेंदों में से (4) गेंदें चुननी हैं जिनमें कम से कम (2) लाल गेंदें हों। कितने तरीके हैं?

From (6) red and (5) blue balls (4) balls are to be selected with at least (2) red balls. How many ways are there?

Explanation opens after your attempt
Correct Answer

B. (275)

Step 1

Concept

The cases are (2), (3), and (4) red balls. The total is \(\binom{6}{2}\binom{5}{2}+\binom{6}{3}\binom{5}{1}+\binom{6}{4}=275\).

Step 2

Why this answer is correct

The correct answer is B. (275). The cases are (2), (3), and (4) red balls. The total is \(\binom{6}{2}\binom{5}{2}+\binom{6}{3}\binom{5}{1}+\binom{6}{4}=275\).

Step 3

Exam Tip

मामले (2), (3) और (4) लाल गेंदों के हैं। कुल \(\binom{6}{2}\binom{5}{2}+\binom{6}{3}\binom{5}{1}+\binom{6}{4}=275\) है।

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Mathematics Answer, Explanation and Revision Hints

(6) लाल और (5) नीली गेंदों में से (4) गेंदें चुननी हैं जिनमें कम से कम (2) लाल गेंदें हों। कितने तरीके हैं? / From (6) red and (5) blue balls (4) balls are to be selected with at least (2) red balls. How many ways are there?

Correct Answer: B. (275). Explanation: मामले (2), (3) और (4) लाल गेंदों के हैं। कुल \(\binom{6}{2}\binom{5}{2}+\binom{6}{3}\binom{5}{1}+\binom{6}{4}=275\) है। / The cases are (2), (3), and (4) red balls. The total is \(\binom{6}{2}\binom{5}{2}+\binom{6}{3}\binom{5}{1}+\binom{6}{4}=275\).

Which concept should I revise for this Mathematics MCQ?

The cases are (2), (3), and (4) red balls. The total is \(\binom{6}{2}\binom{5}{2}+\binom{6}{3}\binom{5}{1}+\binom{6}{4}=275\).

What exam hint can help solve this Mathematics question?

मामले (2), (3) और (4) लाल गेंदों के हैं। कुल \(\binom{6}{2}\binom{5}{2}+\binom{6}{3}\binom{5}{1}+\binom{6}{4}=275\) है।