Question
Download Solution PDFIf 2nP3 = 100 nP2, then the value of n is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Permutations and Combinations:
- nPr =
. - n! = 1 × 2 × 3 × ... × n.
- 0! = 1.
Calculation:
Expanding the expression on both sides of the equation, we get:
2nP3 = 100 nP2
⇒
⇒
⇒(2n)(2n - 1)(2n - 2) = 100(n)(n - 1)
⇒ 2n - 1 = 25, n ≠ 1.
⇒ n = 13.
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.