Question
Download Solution PDF2r C(n, r) किसके बराबर है?
2r C(n, r) किसके बराबर है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
(x + y)n का द्विपद प्रसरण निम्न द्वारा दिया जाता है
(x + y)n = nC0xn + nC1xn-1y + nC2xn-2y2+.....+ nCn-1xyn-1 + nCnyn
गणना:
दिया गया है,
व्यंजक का प्रसार करने पर,
⇒ nC020 + nC1 21 + nC222+.....+ nCn-12n-1 + nCn2n
⇒ nC01n 20 + nC1 1n-1 21 + nC21n-2 22+.....+ nCn-1 2n-1 + nCn2n
द्विपद प्रसरण की तुलना करने पर x = 1 और y = 2
⇒
⇒
∴ सही विकल्प (2) है।
Last updated on Jul 8, 2025
->UPSC NDA Application Correction Window is open from 7th July to 9th July 2025.
->UPSC had extended the UPSC NDA 2 Registration Date till 20th June 2025.
-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.
->The NDA exam date 2025 has been announced. The written examination will be held on 14th September 2025.
-> The selection process for the NDA exam includes a Written Exam and SSB Interview.
-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100.
-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential.