total subsets se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
5 questions tagged with total subsets.
If \(^{n}C_0+^{n}C_1+\cdots+^{n}C_n=512\), what is (n)?
C. (9)
कुल sum \(2^n\) है और \(2^9=512\) होता है। परीक्षा में all combinations sum को power of (2) से जोड़ें। / The total sum is \(2^n\), and \(2^9=512\). In exams connect the sum of all combinations with a power of (2).
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If \(^{n}C_0+^{n}C_1+\cdots+^{n}C_n=256\), what is (n)?
C. (8)
कुल sum \(2^n\) है और \(2^8=256\) होता है। परीक्षा में all combinations sum को power of (2) से जोड़ें। / The total sum is \(2^n\), and \(2^8=256\). In exams connect the sum of all combinations with a power of (2).
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Which combination identity is obtained by putting ((1+1)^n)?
A. \(^{n}C_0+^{n}C_1+\cdots+^{n}C_n=2^n\)
द्विपद विस्तार में सभी coefficients का योग \(2^n\) हो जाता है। परीक्षा में total subsets के लिए भी यही पहचान उपयोग करें। / In binomial expansion the sum of all coefficients becomes \(2^n\). In exams use the same identity for total subsets.
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If a set (A) has (2048) total subsets, how many elements does (A) have?
C. (11)
कुल उपसमुच्चय \(2^n\) होते हैं और \(2048=2^{11}\)। इसलिए (A) में (11) तत्व होंगे। / Total subsets are \(2^n\), and \(2048=2^{11}\). Therefore (A) has (11) elements.
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If (A) has (256) total subsets, how many elements does (A) have?
C. (8)
कुल उपसमुच्चय \(2^n\) होते हैं और \(256=2^8\)। इसलिए (A) में (8) तत्व हैं। / Total subsets are \(2^n\), and \(256=2^8\). Therefore (A) has (8) elements.
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