Use app×
Ask a Question
QUIZARD
QUIZARD
JEE MAIN 2026 Crash Course
NEET 2026 Crash Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE

Write the expression nCr+1 + nCr-1 + 2 x nCr in the simplest form.

← Prev Question Next Question →
+1 vote
700 views
in Combinations by (25.0k points)
closed by

Write the expression nCr+1 + nCr-1 + 2 x nCr in the simplest form.

Challenge Your Friends with Exciting Quiz Games – Click to Play Now!

1 Answer

+1 vote
by (27.2k points)
selected by
 
Best answer

nCr+1 + nCr-1 + 2 x nCr 

= (nCr+1 + nCr) + (nCr + nCr-1) 

⇒ (nCr + nCr-1 = n+1Cr) = n+1Cr+1 + n+1Cr 

⇒ (nCr + nCr-1 = n+1Cr) = n+2Cr+1

← Prev Question Next Question →

Find MCQs & Mock Test

  1. JEE Main 2026 Test Series
  2. NEET Test Series
  3. Class 12 Chapterwise MCQ Test
  4. Class 11 Chapterwise Practice Test
  5. Class 10 Chapterwise MCQ Test
  6. Class 9 Chapterwise MCQ Test
  7. Class 8 Chapterwise MCQ Test
  8. Class 7 Chapterwise MCQ Test

Related questions

0 votes
1 answer
If nPr = 720 and nCr = 120 then find the value of r.
asked Jul 26, 2021 in Combinations by Aeny (45.1k points)
0 votes
1 answer
If nCr+1 = nC8 then find the value of 22Cn.
asked Jul 26, 2021 in Combinations by Aeny (45.1k points)
0 votes
1 answer
If nPr = 840 and nCr = 35, find the value of r.
asked Jul 24, 2021 in Combinations by Vaiga (47.5k points)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

User Contribution to Sarthaks eConnect
Managed by Sarthaks Digitizing India
...