If $^nC_r$ denotes the number of combinations of $n$ things taken $r$ at a time,then the expression $^nC_{r+1} + ^nC_{r-1} + 2 \times ^nC_r$ equals
- A$^{n+2}C_r$
- B$^{n+2}C_{r+1}$
- C$^{n+1}C_r$
- D$^{n+1}C_{r+1}$
Explore More
Similar Questions
In how many ways can the letters of the word '$ALGEBRA$' be arranged when both $A$ do not come together?
Easy
View SolutionThere are $10$ different letters of the English alphabet. If words of $5$ letters are formed using these letters,how many words can be formed such that at least one letter is repeated?
Medium
View SolutionHow many lines can be drawn through $21$ points on a circle?
Medium
View SolutionThe number of arrangements of the letters of the word $SALOON$,if the two $O$'s do not come together,is
Easy
View Solution$A$ man has $7$ friends. In how many ways can he invite one or more of them for a tea party?
Easy
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