(9) रसायन और (6) जीवविज्ञान पुस्तकों में से (5) पुस्तकें चुननी हैं जिनमें कम से कम (3) रसायन पुस्तकें हों। कितने तरीके हैं?

From (9) chemistry and (6) biology books (5) books are to be selected with at least (3) chemistry books. How many ways are there?

Explanation opens after your attempt
Correct Answer

C. (1932)

Step 1

Concept

The cases are (3), (4), and (5) chemistry books. The total is \(\binom{9}{3}\binom{6}{2}+\binom{9}{4}\binom{6}{1}+\binom{9}{5}=1932\).

Step 2

Why this answer is correct

The correct answer is C. (1932). The cases are (3), (4), and (5) chemistry books. The total is \(\binom{9}{3}\binom{6}{2}+\binom{9}{4}\binom{6}{1}+\binom{9}{5}=1932\).

Step 3

Exam Tip

मामले (3), (4) और (5) रसायन पुस्तकों के हैं। कुल \(\binom{9}{3}\binom{6}{2}+\binom{9}{4}\binom{6}{1}+\binom{9}{5}=1932\) है।

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Mathematics Answer, Explanation and Revision Hints

(9) रसायन और (6) जीवविज्ञान पुस्तकों में से (5) पुस्तकें चुननी हैं जिनमें कम से कम (3) रसायन पुस्तकें हों। कितने तरीके हैं? / From (9) chemistry and (6) biology books (5) books are to be selected with at least (3) chemistry books. How many ways are there?

Correct Answer: C. (1932). Explanation: मामले (3), (4) और (5) रसायन पुस्तकों के हैं। कुल \(\binom{9}{3}\binom{6}{2}+\binom{9}{4}\binom{6}{1}+\binom{9}{5}=1932\) है। / The cases are (3), (4), and (5) chemistry books. The total is \(\binom{9}{3}\binom{6}{2}+\binom{9}{4}\binom{6}{1}+\binom{9}{5}=1932\).

Which concept should I revise for this Mathematics MCQ?

The cases are (3), (4), and (5) chemistry books. The total is \(\binom{9}{3}\binom{6}{2}+\binom{9}{4}\binom{6}{1}+\binom{9}{5}=1932\).

What exam hint can help solve this Mathematics question?

मामले (3), (4) और (5) रसायन पुस्तकों के हैं। कुल \(\binom{9}{3}\binom{6}{2}+\binom{9}{4}\binom{6}{1}+\binom{9}{5}=1932\) है।