(8) पुरुषों और (8) महिलाओं में से (5) व्यक्ति चुनने हैं जिनमें कम से कम (2) महिलाएं हों। कितने तरीके हैं?

From (8) men and (8) women (5) persons are to be selected with at least (2) women. How many ways are there?

Explanation opens after your attempt
Correct Answer

D. (3752)

Step 1

Concept

The cases are (2), (3), (4), and (5) women. The total is \(\binom{8}{2}\binom{8}{3}+\binom{8}{3}\binom{8}{2}+\binom{8}{4}\binom{8}{1}+\binom{8}{5}=3752\).

Step 2

Why this answer is correct

The correct answer is D. (3752). The cases are (2), (3), (4), and (5) women. The total is \(\binom{8}{2}\binom{8}{3}+\binom{8}{3}\binom{8}{2}+\binom{8}{4}\binom{8}{1}+\binom{8}{5}=3752\).

Step 3

Exam Tip

मामले (2), (3), (4) और (5) महिलाओं के हैं। कुल \(\binom{8}{2}\binom{8}{3}+\binom{8}{3}\binom{8}{2}+\binom{8}{4}\binom{8}{1}+\binom{8}{5}=3752\) है।

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Mathematics Answer, Explanation and Revision Hints

(8) पुरुषों और (8) महिलाओं में से (5) व्यक्ति चुनने हैं जिनमें कम से कम (2) महिलाएं हों। कितने तरीके हैं? / From (8) men and (8) women (5) persons are to be selected with at least (2) women. How many ways are there?

Correct Answer: D. (3752). Explanation: मामले (2), (3), (4) और (5) महिलाओं के हैं। कुल \(\binom{8}{2}\binom{8}{3}+\binom{8}{3}\binom{8}{2}+\binom{8}{4}\binom{8}{1}+\binom{8}{5}=3752\) है। / The cases are (2), (3), (4), and (5) women. The total is \(\binom{8}{2}\binom{8}{3}+\binom{8}{3}\binom{8}{2}+\binom{8}{4}\binom{8}{1}+\binom{8}{5}=3752\).

Which concept should I revise for this Mathematics MCQ?

The cases are (2), (3), (4), and (5) women. The total is \(\binom{8}{2}\binom{8}{3}+\binom{8}{3}\binom{8}{2}+\binom{8}{4}\binom{8}{1}+\binom{8}{5}=3752\).

What exam hint can help solve this Mathematics question?

मामले (2), (3), (4) और (5) महिलाओं के हैं। कुल \(\binom{8}{2}\binom{8}{3}+\binom{8}{3}\binom{8}{2}+\binom{8}{4}\binom{8}{1}+\binom{8}{5}=3752\) है।