यदि \(A=\{1,2,3,4,5,6\}\) है, तो (\mathcal{P}(A)) में (3) तत्वों वाले subsets कितने हैं जो (1) को रखते हैं और (6) को नहीं रखते?
If \(A=\{1,2,3,4,5,6\}\), how many (3)-element subsets in (\mathcal{P}(A)) contain (1) and do not contain (6)?
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Correct Answer
B. (6)
Concept
(1) is fixed and (6) is excluded, so choose (2) elements from ({2,3,4,5}). The number is \(\binom{4}{2}=6\).
Why this answer is correct
The correct answer is B. (6). (1) is fixed and (6) is excluded, so choose (2) elements from ({2,3,4,5}). The number is \(\binom{4}{2}=6\).
Exam Tip
(1) fixed और (6) excluded है, इसलिए (2) तत्व ({2,3,4,5}) से चुनेंगे। संख्या \(\binom{4}{2}=6\) है।
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