(20) वस्तुओं में से (8) वस्तुएं चुननी हैं और (7) विशेष वस्तुओं में से अधिकतम (2) चुनी जाएं। कितने तरीके हैं?

From (20) objects (8) objects are to be selected and at most (2) of (7) special objects are chosen. How many ways are there?

Explanation opens after your attempt
Correct Answer

C. (49335)

Step 1

Concept

The number of special objects can be (0), (1), or (2). The total is \(\binom{7}{0}\binom{13}{8}+\binom{7}{1}\binom{13}{7}+\binom{7}{2}\binom{13}{6}=49335\).

Step 2

Why this answer is correct

The correct answer is C. (49335). The number of special objects can be (0), (1), or (2). The total is \(\binom{7}{0}\binom{13}{8}+\binom{7}{1}\binom{13}{7}+\binom{7}{2}\binom{13}{6}=49335\).

Step 3

Exam Tip

विशेष वस्तुएं (0), (1) या (2) चुनी जा सकती हैं। कुल \(\binom{7}{0}\binom{13}{8}+\binom{7}{1}\binom{13}{7}+\binom{7}{2}\binom{13}{6}=49335\) है।

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Mathematics Answer, Explanation and Revision Hints

(20) वस्तुओं में से (8) वस्तुएं चुननी हैं और (7) विशेष वस्तुओं में से अधिकतम (2) चुनी जाएं। कितने तरीके हैं? / From (20) objects (8) objects are to be selected and at most (2) of (7) special objects are chosen. How many ways are there?

Correct Answer: C. (49335). Explanation: विशेष वस्तुएं (0), (1) या (2) चुनी जा सकती हैं। कुल \(\binom{7}{0}\binom{13}{8}+\binom{7}{1}\binom{13}{7}+\binom{7}{2}\binom{13}{6}=49335\) है। / The number of special objects can be (0), (1), or (2). The total is \(\binom{7}{0}\binom{13}{8}+\binom{7}{1}\binom{13}{7}+\binom{7}{2}\binom{13}{6}=49335\).

Which concept should I revise for this Mathematics MCQ?

The number of special objects can be (0), (1), or (2). The total is \(\binom{7}{0}\binom{13}{8}+\binom{7}{1}\binom{13}{7}+\binom{7}{2}\binom{13}{6}=49335\).

What exam hint can help solve this Mathematics question?

विशेष वस्तुएं (0), (1) या (2) चुनी जा सकती हैं। कुल \(\binom{7}{0}\binom{13}{8}+\binom{7}{1}\binom{13}{7}+\binom{7}{2}\binom{13}{6}=49335\) है।