CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

The sum of coefficients of intergral power of x in the binomial expansion (12x)50is:

A
12(3501)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
12(250+1)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
12(350+1)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
12(350)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 12(350+1)
(1+2x)50=50C0+50C12x+50C2(2x)2...(1)(12x)50=50C0+50C12x50C2(2x)2+50C3(2x)350C4(2x)4...(2)Adding equation (1)and (2)(1+2x)50+(12x)50=2[50C0+50C222x+50C423x2+...]Putting x=1, we get above as 350+12

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