Question
Download Solution PDFx ज्ञात करें यदि \(\frac{1}{{5!}} + \frac{1}{{6!}} = \frac{x}{{7!}}\)।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
n! = n × (n - 1) × ...... × 1
गणना:
दिया हुआ: \(\frac{1}{{5!}} + \frac{1}{{6!}} = \frac{x}{{7!}}\)
जैसा कि हम जानते हैं कि, n! = n × (n - 1) × ...... × 1
⇒ \(\frac{1}{{5!}} + \frac{1}{{6\; \times \;5!}} = \frac{x}{{7 \;\times\; 6\; \times\; 5!}}\)
⇒ \(\frac{1}{{5!}} \times \left( {1 + \frac{1}{{6}}} \right) = \frac{1}{{5!}} \times \frac{x}{{42}}\)
⇒ \(1 + \frac{1}{{6}} = \frac{x}{{42}}\)
⇒ x = 49
अत: विकल्प C सही उत्तर है।
Last updated on Jun 20, 2025
-> The Indian Navy SSR Agniveeer Merit List has been released on the official website.
-> The Indian Navy Agniveer SSR CBT Exam was conducted from 25th to 26th May 2025.
->The application window was open from 29th March 2025 to 16th April 2025.
-> The Indian Navy SSR Agniveer Application Link is active on the official website of the Indian Navy.
.->Only unmarried males and females can apply for Indian Navy SSR Recruitment 2025.
-> The selection process includes a Computer Based Test, Written Exam, Physical Fitness Test (PFT), and Medical Examination.
->Candidates Qualified in 10+2 with Mathematics & Physics from a recognized Board with a minimum 50% marks in aggregate can apply for the vacancy.
-> With a salary of Rs. 30,000, it is a golden opportunity for defence job seekers.
-> Candidates must go through the Indian Navy SSR Agniveer Previous Year Papers and Agniveer Navy SSR mock tests to practice a variety of questions for the exam.