A member disjoint from the fixed (4)-element subset can be formed only from the remaining (6) elements. Therefore the number is \(2^6=64\).
Step 2
Why this answer is correct
The correct answer is C. (64). A member disjoint from the fixed (4)-element subset can be formed only from the remaining (6) elements. Therefore the number is \(2^6=64\).
Step 3
Exam Tip
Fixed (4)-element subset से disjoint member केवल शेष (6) तत्वों से बनेगा। इसलिए संख्या \(2^6=64\) है।
Disjoint subsets are formed only from ({3,4,5}), so there are \(2^3=8\). In exams, remove forbidden elements for a disjoint condition.
Step 2
Why this answer is correct
The correct answer is B. (8). Disjoint subsets are formed only from ({3,4,5}), so there are \(2^3=8\). In exams, remove forbidden elements for a disjoint condition.
Step 3
Exam Tip
Disjoint subsets केवल ({3,4,5}) से बनेंगे, इसलिए \(2^3=8\) हैं। परीक्षा में disjoint condition के लिए forbidden elements हटा दें।
Disjoint subsets are formed only from ({3,4}), so the number is \(2^2=4\). In exams, remove forbidden elements for a disjoint condition.
Step 2
Why this answer is correct
The correct answer is B. (4). Disjoint subsets are formed only from ({3,4}), so the number is \(2^2=4\). In exams, remove forbidden elements for a disjoint condition.
Step 3
Exam Tip
Disjoint subsets केवल ({3,4}) से बनेंगे, इसलिए संख्या \(2^2=4\) है। परीक्षा में disjoint condition के लिए forbidden elements हटाएं।
Subsets disjoint from ({a,d}) are formed only from (b,c), so there are \(2^2=4\). Hence not disjoint subsets are (16-4=12).
Step 2
Why this answer is correct
The correct answer is C. (12). Subsets disjoint from ({a,d}) are formed only from (b,c), so there are \(2^2=4\). Hence not disjoint subsets are (16-4=12).
Step 3
Exam Tip
({a,d}) से असंयुक्त उपसमुच्चय केवल (b,c) से बनेंगे, जो \(2^2=4\) हैं। इसलिए असंयुक्त नहीं होने वाले (16-4=12) हैं।