Search for: For 0≤r<2n, 2n+rCn 2n−rCn cannot exceed For 0≤r<2n, 2n+rCn 2n−rCn cannot exceed A 4nCnB 4nC2nC 6nC3nDnone of these. Fill Out the Form for Expert Academic Guidance!l Grade ---Class 1Class 2Class 3Class 4Class 5Class 6Class 7Class 8Class 9Class 10Class 11Class 12 Target Exam JEENEETCBSE +91 Preferred time slot for the call ---9 am10 am11 am12 pm1 pm2 pm3 pm4 pm5 pm6 pm7 pm8pm9 pm10pm Please indicate your interest Live ClassesBooksTest SeriesSelf Learning Language ---EnglishHindiMarathiTamilTeluguMalayalam Are you a Sri Chaitanya student? NoYes Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:For 0≤r<2n,(1+x)4n=(1+x)2n+r(1+x)2n−r=A0+A1x+A2x2+…+A2n+rx2n+rB0+B1x+B2x2+…+B2n−rx2n−r where Ak=2n+rCk(0≤k≤2n+r)and Bk=2n−rCk(0≤k≤2n−r)Coefficient of x2n on the RHSA2nB0+A2n−1B1+…+AnBn+An+1Bn−1+…+ArB2n−r = coefficient of x2n on LHS=4nC2n.Thus, AnBn<4nC2n ⇒ 2n+rCn 2n−rCn<4nC2n Related content Nucleus Diagram for Class 9 Neuron Diagram Class 9 Human Heart Diagram Class 10 CBSE Class 7 Science Chapter 1 Nutrition in Plants MCQ Questions with Answers CBSE Class 9 English Worksheet – The Road not Taken 50+ GK Questions and Answers for Class 8 “Kabir Ki Sakhiyan” MCQ Questions for Class 9 Hindi with Answers Kshitij, Kritika, Sparsh, Sanchayan Bhag 1 CBSE Class 7 English Honeycomb Chapter 1 Three Questions MCQ Questions with Answers CBSE Class 9 English Beehive Book Poem 1 The Road Not Taken MCQ Questions with Answers MCQs Questions with Answers for Class 9 English Chapter 1 The Fun They Had