\(A=\{1,2,3,4,5,6,7,8,9,10,11,12,13\}\) के कितने (6)-तत्व उपसमुच्चय (1) को शामिल करते हैं लेकिन (5) और (6) दोनों को साथ शामिल नहीं करते?
How many (6)-element subsets of \(A=\{1,2,3,4,5,6,7,8,9,10,11,12,13\}\) contain (1) but do not contain both (5) and (6) together?
Explanation opens after your attempt
Correct Answer
A. (672)
Concept
The element (1) is fixed so choose (5) elements from (12). Subtracting \(\binom{10}{3}=120\) cases containing both (5), (6) gives (792-120=672).
Why this answer is correct
The correct answer is A. (672). The element (1) is fixed so choose (5) elements from (12). Subtracting \(\binom{10}{3}=120\) cases containing both (5), (6) gives (792-120=672).
Exam Tip
(1) तय है इसलिए (5) तत्व (12) में से चुनेंगे। (5), (6) दोनों होने पर \(\binom{10}{3}=120\) घटाने से (792-120=672) मिलता है।
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