Answer :

Given:


8Cr7C3 = 7C2


8Cr = 7C2 + 7C3


We know that nCr + nCr + 1 = n + 1Cr + 1


8Cr = 7 + 1C2 + 1


8Cr = 8C3


We know that if , then one of the following conditions need to be satisfied:


i. p = q


ii. n = p + q


Let us use condition (i),


r = 3


Let us also check condition (ii),


8 = 3 + r


r = 5


The values of ‘r’ are 3 and 5.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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
caricature
view all courses
RELATED QUESTIONS :

Prove that the prRD Sharma - Mathematics

There are 10 lampMathematics - Exemplar

If n+1RS Aggarwal - Mathematics

If nC<RS Aggarwal - Mathematics

Fill in the BlankMathematics - Exemplar

Fill in the BlankMathematics - Exemplar

The number of wayMathematics - Exemplar

Total number of wMathematics - Exemplar

The number of wayMathematics - Exemplar

The number of triMathematics - Exemplar