Search for: The least positive integer n for which n−1C5+n−1C6 The least positive integer n for which n−1C5+n−1C6<nC7 is A14B15C16D28 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:Since mCr−1+mCr=m+1Cr we can write the given inequality as nC6<nC7⇒ nC6 nC7<1 ⇒ 7n−6<1 ⇒ n>13∴ the value of n is 14. Related content CBSE Class 7 English Honeycomb Chapter 2 A Gift of Chappals MCQ Questions with Answers Top Career Option and Courses after 12th 2024: Arts, Commerce & Science Students CBSE Class 7 English MCQ Questions with Answers CBSE Class 12 English Lost Spring MCQ with Answers Heron’s Formula Class 9 Worksheet Maths Chapter 12 CBSE Class 12 English The Last Lesson MCQ with Answers Was NEET 2024 Paper Leaked? Check NTA Official Press Release CBSE Class 10 English Chapter 1 Worksheets -A Letter to God Disaster Management Project for Class 9 ICSE ISC Topper List 2024, Check ISC Class 12 Topper List for Science, Commerce, Arts