# If n + 2C8 : n – 2P4 = 57 : 16, find n.

Given:

We know that ,

And also n! = n(n – 1)(n – 2)…………2.1

(n + 2)(n + 1)(n)(n – 1) = 21 × 20 × 19 × 18

Equating the corresponding terms on both sides we get,

n = 19

The value of n is 19.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Permutations & Combinations | Analyze your learningFREE Class
Challenging Quiz on P&C | Test Yourself55 mins
Understand Permutations like never before60 mins
Check Your progress Part 2| Interactive Quiz: Permutation & Combination54 mins
Interactive Quiz on Combinations50 mins
Lecture on Combinations49 mins
Interactive Quiz on Division and distribution of objects17 mins
Division and distribution of objects58 mins
Interactive Quiz on Combinations-0253 mins
Circular permutations61 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