(15) पुस्तकों में से (6) पुस्तकें चुननी हैं जिनमें दो विशेष पुस्तकें दोनों साथ न आएं। कितने तरीके हैं?
From (15) books (6) books are to be selected so that two special books do not appear together. How many ways are there?
Explanation opens after your attempt
Correct Answer
A. (4290)
Concept
Total ways are \(\binom{15}{6}=5005\) and ways with both special books are \(\binom{13}{4}=715\). Hence (5005-715=4290).
Why this answer is correct
The correct answer is A. (4290). Total ways are \(\binom{15}{6}=5005\) and ways with both special books are \(\binom{13}{4}=715\). Hence (5005-715=4290).
Exam Tip
कुल \(\binom{15}{6}=5005\) हैं और दोनों विशेष साथ हों तो \(\binom{13}{4}=715\) हैं। इसलिए (5005-715=4290) तरीके हैं।
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