Prove that 9P3 + 3 × 9P2 = 10P3.

To Prove: 9P3 + 3 × 9P2 = 10P3

Formula Used:

Total number of ways in which n objects can be arranged in r places (Such that no object is replaced) is given by,

nPr

The equation given below needs to be proved i.e

9P3 + 3 × 9P2 = 10P3.

+

(9 × 8 × 7) + (3 × 9 × 8) = 10 × 9 × 8

10 × 9 × 8 = 10 × 9 × 8

Hence, proved.

9P3 + 3 × 9P2 = 10P3.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Circular permutations61 mins
Challenging Quiz on P&C | Test Yourself55 mins
Permutations & Combinations | Analyze your learningFREE Class
Understand Permutations like never before60 mins
Check Your progress Part 2| Interactive Quiz: Permutation & CombinationFREE Class
Lecture on Combinations49 mins
Interactive Quiz on Division and distribution of objects17 mins
Interactive Quiz on Combinations-0253 mins
Interactive Quiz on Combinations50 mins
Division and distribution of objects58 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses