यदि 2nP3 = 100 nP2 तो n का मान क्या है?

  1. 1
  2. 50
  3. 13
  4. 4

Answer (Detailed Solution Below)

Option 3 : 13
Free
Agniveer Navy SSR Full Test - 01
100 Qs. 100 Marks 60 Mins

Detailed Solution

Download Solution PDF

अवधारणा:

क्रमचय और संयोजन:

  • nPr =
  • n! = 1 × 2 × 3 × ... × n
  • 0! = 1

 

गणना:

समीकरण के दोनों पक्षों पर अभिव्यक्ति का विस्तार करके हमें मिलता है:

2nP3 = 100 nP2

⇒ 

⇒ 

⇒ (2n)(2n - 1)(2n - 2) = 100(n)(n - 1)

⇒ 2n - 1 = 25, n ≠ 1

⇒ n = 13

Latest Indian Navy Agniveer SSR Updates

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.

More Permutation Function and its properties Questions

More Permutations and Combinations Questions

Hot Links: teen patti comfun card online teen patti jodi teen patti 100 bonus teen patti joy official