CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The ratio of the coefficients of xm and xn in the expansion of (1 + x)m + n is ___________.

Open in App
Solution

For (1 + x)m + n
Tr+1 = m+nCr xr
for coefficient of xm, r = m
i.e coefficient is m+nCm
and for coefficient of xn, r = n
i.e. coefficient is m+nCn
Ratio of coefficient of xm to xn is m+nCmm+nCn=m+nCm+n-mm+nCn=m+nCnm+nCn=1


flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Definition of Variables
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon