Use app×
Ask a Question
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE

Co-efficient of x^53 in Σ 100 Cr (x-5)^100-r 4^r , r ∈ [r=0, 100] is .....

← Prev Question Next Question →
0 votes
4.3k views
in Mathematics by (71.3k points)

Co-efficient of x53 in Σ 100 Cr (x-5)100-r4r , r ∈ [r=0, 100] is .....

(a) 100 c53 

(b) 100 c48 

(c) -100 c53 

(d) 100 c51

Play Quiz Game >

1 Answer

+1 vote
by (76.5k points)
selected by
 
Best answer

Correct option: (c) -100C53 

Explanation:

100∑r=0 100Cr (x – 5)100–r ∙ 4r = (x – 5 + 4)100 = (x – 1)100 

∴ Coefficient of x53 is 100C53 (– 1)100–53 

= 100C53 (– 1)47 

= – 100C53

← Prev Question Next Question →

Find MCQs & Mock Test

  1. JEE Main 2025 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
Σ nCr 4^r, r ∈ [r=0, n] = .....
asked Mar 18, 2019 in Mathematics by Anika (71.3k 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
...