Class 11MathematicsPermutation and CombinationDefinition of permutation, Number of permutations with or without repetition, Conditional permutations
MediumThere are $3$ applicants for a scholarship in Physics,$5$ for Mathematics,and $4$ for Chemistry. In how many different ways can these scholarships be awarded such that at least one scholarship is awarded in each subject?
- A$12$
- B$60$
- C$80$
- D$100$
Explore More
Similar Questions
There 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 SolutionHow many numbers consisting of $5$ digits can be formed in which the digits $3, 4$ and $7$ are used only once and the digit $5$ is used twice?
Easy
View SolutionHow many different nine-digit numbers can be formed from the digits of the number $223355888$ by rearranging the digits such that the odd digits occupy even places?
MediumIIT 2000
View SolutionIn how many ways can the letters of the word $MULTIPLE$ be arranged keeping the position of the vowels fixed?
How many permutations of the letters of the word $ENDEANOEL$ are there such that the last five positions do not contain $D, L,$ or $N$?
Medium
View SolutionVedclass 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