Q.

For n≥2, let Cr= rn and an=∑r=0n 1Cr

Moderate

Unlock the Full Solution and Master the Concept

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept

By Expert Faculty of Sri Chaitanya

A-P,B-R,C-Q,D-S

A-R,B-S,C-R,D-Q

A-R,B-S,C-Q,D-R

A-R,B-R,C-Q,D-Q

answer is D.

(Detailed Solution Below)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

using Cr=Cn−1, we get ∑r=0n rCr=∑r=0n rCn−r=∑r=0n n−rCr⇒2∑r=0n rCr=nan⇒∑r=0n rCr=12nansimilarly, ∑r=0n n−rCr=12nanusing, rCr=nCr−1 we get∑r=0n 1 rCr=1n∑r=1n 1Cr−1=1n∑r=0n 1Cr=1nan−1similarly ,∑r=0n−1 1(n−r)Cr=1nan−1

Choose your Grade and Exam

Connect with our

Expert Counsellors

access to India's best teachers with a record of producing top rankers year on year.

+91

We will send a verification code via OTP.