{"id":3148,"date":"2025-06-07T07:25:07","date_gmt":"2025-06-07T07:25:07","guid":{"rendered":"https:\/\/diznr.com\/?p=3148"},"modified":"2025-06-07T07:25:07","modified_gmt":"2025-06-07T07:25:07","slug":"day-01-discrete-mathematics-for-gate-in-hindi-cseit-difference-b-w-subset-and-subset-proper","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/day-01-discrete-mathematics-for-gate-in-hindi-cseit-difference-b-w-subset-and-subset-proper\/","title":{"rendered":"Day 01- Discrete Mathematics for gate in Hindi CSEIT- Difference b\/w Subset and Proper subset."},"content":{"rendered":"

Day 01- Discrete Mathematics for gate in Hindi CSEIT- Difference b\/w Subset and Proper subset.<\/p>\n

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\u091c\u093c\u0930\u0942\u0930! \u0906\u0907\u090f GATE 2025 \u0915\u0947 \u0932\u093f\u090f Discrete Mathematics<\/strong> \u0915\u0947 Day 01 \u091f\u0949\u092a\u093f\u0915<\/strong> \u092a\u0930 \u091a\u0930\u094d\u091a\u093e \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u2014
“Subset \u0914\u0930 Proper Subset \u092e\u0947\u0902 \u0905\u0902\u0924\u0930 (Difference between Subset and Proper Subset)”<\/strong> \u2014 \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902\u0964<\/p>\n

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\ud83d\udcda Day 01 \u2013 Discrete Mathematics (CSE\/IT) in Hindi<\/strong><\/h2>\n

\ud83d\udd36 \u091f\u0949\u092a\u093f\u0915: Subset \u0914\u0930 Proper Subset \u092e\u0947\u0902 \u0905\u0902\u0924\u0930<\/h3>\n
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\ud83d\udd39 Subset (\u0909\u092a\u0938\u092e\u0941\u091a\u094d\u091a\u092f) \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u093e \u0939\u0948?<\/strong><\/h3>\n

\u0905\u0917\u0930 \u0915\u094b\u0908 Set A, Set B \u0915\u093e \u0939\u093f\u0938\u094d\u0938\u093e \u0939\u0948 (\u092f\u093e \u092a\u0942\u0930\u093e \u0915\u093e \u092a\u0942\u0930\u093e B \u0938\u0947 \u092e\u0947\u0932 \u0916\u093e\u0924\u093e \u0939\u0948), \u0924\u094b A \u0915\u094b B \u0915\u093e Subset<\/strong> \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n

\ud83d\udfe2 Symbol:<\/strong> A \u2286 B<\/p>\n

\u2705 Example:<\/h4>\n

\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f B = {1, 2, 3}
\u0924\u094b \u0907\u0938\u0915\u0947 Subsets \u0939\u094b\u0902\u0917\u0947:
{}, {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 3}, {1, 2, 3}<\/p>\n

\u2714 \u0907\u0938\u092e\u0947\u0902 \u092a\u0942\u0930\u093e \u0938\u0947\u091f \u092d\u0940 \u0905\u092a\u0928\u093e subset \u0939\u094b\u0924\u093e \u0939\u0948<\/strong> \u2014 \u092f\u093e\u0928\u0940 {1, 2, 3} \u2286 {1, 2, 3}<\/code><\/p>\n

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\ud83d\udd39 Proper Subset (\u0938\u0939\u0940 \u0909\u092a\u0938\u092e\u0941\u091a\u094d\u091a\u092f) \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u093e \u0939\u0948?<\/strong><\/h3>\n

\u091c\u092c \u0915\u094b\u0908 Set A, Set B \u0915\u093e \u0939\u093f\u0938\u094d\u0938\u093e \u0924\u094b \u0939\u094b \u0932\u0947\u0915\u093f\u0928 A = B \u0928\u093e \u0939\u094b<\/strong>, \u092f\u093e\u0928\u0940 A \u091b\u094b\u091f\u093e \u0939\u094b \u2014 \u0924\u094b A \u0915\u094b B \u0915\u093e Proper Subset<\/strong> \u0915\u0939\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n

\ud83d\udfe2 Symbol:<\/strong> A \u2282 B<\/p>\n

\u2705 Example:<\/h4>\n

B = {1, 2, 3}
Proper subsets \u0939\u094b\u0902\u0917\u0947:
{}, {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 3}
\u274c \u0932\u0947\u0915\u093f\u0928 {1, 2, 3} \u274c Proper subset \u0928\u0939\u0940\u0902 \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u092f\u0947 \u092a\u0942\u0930\u093e \u0938\u0947\u091f \u0939\u0948\u0964<\/p>\n

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\ud83d\udd0d Main Difference (\u092e\u0941\u0916\u094d\u092f \u0905\u0902\u0924\u0930):<\/strong><\/h3>\n
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\n\n\n\n\n\n\n\n
\ud83d\udd22<\/th>\nSubset (\u2286)<\/th>\nProper Subset (\u2282)<\/th>\n<\/tr>\n<\/thead>\n
\u2705<\/td>\nA = B \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948<\/td>\nA = B \u0928\u0939\u0940\u0902 \u0939\u094b \u0938\u0915\u0924\u093e<\/td>\n<\/tr>\n
\ud83d\udd01<\/td>\nTotal 2\u207f subsets<\/td>\nTotal 2\u207f – 1 proper subsets<\/td>\n<\/tr>\n
\ud83d\udca1<\/td>\n{} \u0914\u0930 \u092a\u0942\u0930\u093e \u0938\u0947\u091f \u0926\u094b\u0928\u094b\u0902 \u0936\u093e\u092e\u093f\u0932 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902<\/td>\n{} \u0924\u094b \u0939\u094b\u0924\u093e \u0939\u0948, \u0932\u0947\u0915\u093f\u0928 \u092a\u0942\u0930\u093e \u0938\u0947\u091f \u0928\u0939\u0940\u0902<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
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\ud83e\udde0 GATE Trick to Remember:<\/h3>\n