Search for: If n∈N, n>1, then value of E=a−nC1(a−1)+nC2(a−2)+…+(−1)n(a−n) nCn is If n∈N, n>1, then value of E=a−nC1(a−1)+nC2(a−2)+…+(−1)n(a−n) nCn is AaB0Ca2D2n 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:We can write E asa nC0−nC1+nC2−…+(−1)n nCn+ nC1− (2) nC2+(3) nC3−…−(−1)n(n) nCn =0+F whereF= nC1−(2) nC2+(3) nC3−…− (−1)n(n) nCn We have (1+x)n=nC0+nC1x+nC2x2+nC3x3+…+nCnxnDifferentiating, we get n(1+x)n−1=nC1+2 nC2x+3 nC3x2+…+n nCnxn−1Putting x=-1, we get 0=nC1−2 nC2+3 nC3−…−(−1)n−1(n) nCn⇒ 0=FThus, E=0+0=0. 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