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Polytechnic 5th Sem CS🔥🔥
Revision Notes
Subject E-Governance
👉Unit 1 - https://rajasthanpolytechnic.blogspot.com/2024/09/unit-1-introduction-to-e-governance.html
👉Unit 2 - https://rajasthanpolytechnic.blogspot.com/2024/09/unit-2-introduction-to-e-governance-cs.html
👉Unit 3 - https://rajasthanpolytechnic.blogspot.com/2024/09/unit-3-introduction-to-e-governance-cs.html
👉Unit 4 - https://rajasthanpolytechnic.blogspot.com/2024/09/unit-4-introduction-to-e-governance-cs.html
👉Unit 5 - https://rajasthanpolytechnic.blogspot.com/2024/09/unit-5-introduction-to-e-governance-cs.html
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Polytechnic 3rd Sem CS💥💥
Revision Notes
Subject - C-Programming
💥Unit 1 - https://rajasthanpolytechnic.blogspot.com/2024/09/chapter-1-introduction-to-problem.html
💥Unit 2 - https://rajasthanpolytechnic.blogspot.com/2024/09/chapter-2-operators-and-formatting.html
💥Unit 3 - https://rajasthanpolytechnic.blogspot.com/2024/09/chapter-3-control-statements-notes.html
💥Unit 4 - https://rajasthanpolytechnic.blogspot.com/2024/09/chapter-4-arrays-notes-polytechnic-3rd.html
💥Unit 5 - https://rajasthanpolytechnic.blogspot.com/2024/09/chapter-5-recursion-notes-polytechnic.html
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Hello Everyone,
I am Garima Kanwar💁♀️, and I am pleased to inform you that I have shared the complete study material for Mathematics🙌, including:
- Video Lectures
- PDF Notes
- Important Questions for all units.
I have put in my best efforts✅ to ensure that you have access to all the resources needed for your preparation. Now, it is your turn🫵👍 to make the most of these materials and study diligently.🌼
As per the schedule, your exam is likely on the 30th, so utilize your time effectively and prepare thoroughly.🌼
Wishing you all the very best for your exam!❤
Warm regards,
BTER Polytechnic Classes
Garima Kanwar🌼😊
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in hindii🙌🙌
1. 5 लोगों को एक पंक्ति में किस तरह से सजा सकते हैं?
2. संख्या 2, 4, 6, और 8 का उपयोग करके 4-अंकीय संख्याएं कितनी बनाई जा सकती हैं, यदि अंकों का पुनरावृत्ति की अनुमति है?
3. "COMPUTER" शब्द के अक्षरों को कितने विभिन्न तरीकों से सजाया जा सकता है?
4. 6 लोग गोल मेज के चारों ओर कितने तरीके से बैठ सकते हैं?
5. 5 पुरुषों और 3 महिलाओं को एक पंक्ति में इस तरह से सजा सकते हैं कि सभी पुरुष एक साथ खड़े रहें?
(C)
1. 8 लोगों में से 3 लोगों का समिति कितने तरीकों से चुना जा सकता है?
2. 6 खिलाड़ियों की टीम में से कप्तान और उपकप्तान कितने तरीकों से चुने जा सकते हैं?
3. 10 लोगों में से 4 लोगों का चयन किस प्रकार किया जा सकता है, यदि समूह में कम से कम 2 महिलाएं होनी चाहिए?
4. 6 समान गेंदों को 3 विभिन्न डब्बों में कितने तरीकों से डाला जा सकता है?
5. 6 पुरुषों और 5 महिलाओं में से 4 लोगों का समिति किस प्रकार चुना जा सकता है, यदि समिति में कम से कम 2 पुरुष होने चाहिए?
सामान्य पद समस्याएं (General Term Problems)
1. (3x+2y) ^8 के विस्तार में 5वां पद क्या होगा?
2. (x+2) ^6 के विस्तार में x^3 वाले पद का गुणांक क्या होगा?
3. (a+b) ^n के विस्तार में सामान्य पद क्या होगा?
4. 8 पुरुषों और 5 महिलाओं में से 3 पुरुष और 2 महिलाओं का चयन कितने तरीकों से किया जा सकता है?
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Impt questions🔥
Here are a few questions based on Permutations (P) and Combinations (C), including problems related to the general term:
Permutations (P)
1. Basic Permutation: How many different ways can 5 people be arranged in a row for a photo shoot?
2. Permutation with Repetition: How many 4-digit numbers can be formed using the digits 2, 4, 6, and 8, if repetition of digits is allowed?
3. Permutation of Objects with Repetition: How many different ways can the letters of the word "COMPUTER" be arranged?
4. Circular Permutation: How many ways can 6 people sit around a round table?
5. Restricted Permutation: In how many different ways can 5 men and 3 women be arranged in a line, if the men must all stand together?
Combinations (C)
1. Basic Combination: In how many ways can a committee of 3 people be selected from a group of 8 people?
2. Combination with Restrictions: A team consists of 6 players. In how many ways can a captain and vice-captain be selected from the team?
3. Combination of Objects with Restrictions: How many ways can a group of 4 people be selected from a set of 10, if the group must contain at least 2 women?
4. Combination with Identical Objects: How many ways can 6 identical balls be placed in 3 different boxes?
5. Combination with Selection of Objects: In how many ways can a committee of 4 members be formed from 6 men and 5 women, if the committee must contain at least 2 men?
General Term Problems
1. Binomial Expansion (General Term): Find the 5th term in the expansion of (3x+2y) ^8
2. Binomial Theorem - Coefficient of a Specific Term: In the expansion of (x+2) ^6 , what is the coefficient of the term containing x^3
3. Combination with Binomial Coefficient: Find the general term in the expansion of (a+b) ^n .
4. Combination in Selection: In how many ways can you select a group of 3 men and 2 women from a group of 8 men and 5 women?
