The coefficient of x53 in ∑m=0100 100Cm(x−5)100−m(4)m is

# The coefficient of ${x}^{53}$ in $\sum _{m=0}^{100} 100{C}_{m}\left(x-5{\right)}^{100-m}\left(4{\right)}^{m}$ is

1. A

2. B

3. C

${-}^{100}{C}_{53}$

4. D

${2}^{53}$

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

$\sum _{m=0}^{100}{ }^{100}{C}_{m}\left(x-5{\right)}^{100-m}\left(4{\right)}^{m}=\left(x-5+4{\right)}^{100}=\left(x-1{\right)}^{100}$

$\therefore$ Coefficient of ${x}^{53}$ is .

## Related content

 How to Score 100 in Class 6 Maths using NCERT Solutions TS EAMCET Previous Year Question Papers CBSE Class 8 English Syllabus Academic Year 2023-2024 CBSE Class 7 English Syllabus Academic Year 2023-2024 CBSE Worksheets for Class 7 with Answers COMEDK UGET Mock Test 2024 (Available) – Free Mock Test Series Indian tribes Maurya Empire CBSE Class 10 Science Important Topics – You Should Not Miss in Board Exam 2024 CBSE Class 6 Social Science: Important Tips and Topics

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)