CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

The coefficient of x9 in the expansion of 1+x)((1+x2) (1+x3) (1+x100) is


A

6

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

7

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

8

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

9

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C

8


Coefficient of x9 in the expansion of
1+x)((1+x2) (1+x3) . . . (1+x100) = Terms having x9
=[199.x9,198.x.x8,198.x2.x7,198.x3.x6,198.x4.x5,197.x.x2.x6,197.x.x3.x5,197.x2.x3.x4]
Coefficient of x9 = 8


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Binomial Coefficients
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon