Practice Problems on nPr Formula
P1. If 2n+1Pn-1:2n-1Pn = 3:5, then find the value of n.
P2. How many different signals can be given using any number of flags from 5 flags of different colors?
P3. Find the sum of all the numbers that can be formed with the digits 2, 3, 4, and 5 taken all at a time.
P4. If nP5 = 20×nP3, find the value of n.
P5. How many numbers can be formed from the digits 1, 2, 3, and 4 when repetition is not allowed?
P6. How many 4-letter words, with or without meaning can be formed using the letters in the word LOGARITHMS, if repetition of letters is not allowed?
nPr Formula
nPr formula is used to find the number of ways in which r different things can be selected and arranged out of n different things. The nPr formula is, P(n, r) = n! / (n−r)!, and is also called Permutation Formula.
In this article, we learn about nPr formula, its significance, properties, mathematical derivation, and diverse applications across mathematics and real-world scenarios.
Table of Content
- What is nPr Formula?
- Properties of nPr Formula
- Derivation of nPr Formula
- nPr and nCr Formula
- Applications of Permutation (nPr) Formula
- Examples on nPr Formula
- Practice Problems on nPr Formula
- nPr Formula: FAQs