Class 11MathematicsPermutation and CombinationDefinition of permutation, Number of permutations with or without repetition, Conditional permutations
MediumThe total number of permutations of $n (> 1)$ different things taken not more than $r$ at a time,when each thing may be repeated any number of times is
- A$\frac{n(n^n-1)}{n-1}$
- B$\frac{n^r-1}{n-1}$
- C$\frac{n(n^r-1)}{n-1}$
- DNone of these
Explore More
Similar Questions
How many numbers can be formed using the digits $3, 4, 5, 6, 7, 8$ that lie between $3000$ and $4000$ and are divisible by $5$,given that repetition of digits is not allowed?
Medium
View SolutionThe number of four-digit numbers strictly greater than $4321$ that can be formed using the digits $0, 1, 2, 3, 4, 5$ (repetition of digits is allowed) is
DifficultJEE MAIN 2019
View SolutionThe total number of words that can be formed using the letters $a, b, c, d, e, f$ taken $3$ at a time such that each word contains at least one vowel is:
Easy
View SolutionIf all the letters of the word $REPEAT$ are permuted in all possible ways and if the six-letter permutations thus formed are arranged in the dictionary order,then the rank of the word $REPEAT$ is:
The teacher wants to arrange $5$ students on the platform such that the boy $B_1$ occupies the second position and the girls $G_1$ and $G_2$ are always adjacent to each other. Then,the number of such arrangements is
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo