Class 11MathematicsPermutation and CombinationDefinition of permutation, Number of permutations with or without repetition, Conditional permutations
EasyThere are $10$ lamps in a hall. Each one of them can be switched on independently. The number of ways in which the hall can be illuminated is
- A$10^2$
- B$1023$
- C$2^{10}$
- D$10!$
Explore More
Similar Questions
How many words can be formed using the letters of the word $ARTICLE$ if the vowels always occupy even positions?
Medium
View SolutionHow many numbers between $3000$ and $4000$ can be formed using the digits $3, 4, 5, 6, 7, 8$ without repetition,such that the numbers are divisible by $5$?
Difficult
View SolutionThere are $9$ chairs in a room,and $6$ people are to be seated. One of these chairs is a special chair reserved for a special guest. In how many ways can these people be seated?
Medium
View SolutionThe number of all four-digit numbers that can be formed with the digits $0, 1, 2, 3, 4, 5$ when the repetition of the digits is not allowed,is
The number of words that can be formed using the letters of the word $VOWEL$ such that the vowels always remain together 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