wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The evaluated value of ni=0nj=1 nCj jCi, ij

A
3n+1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3n1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
3n+1+1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 3n1
Expanding, we get
nC1(1C0+1C1)+nC2(2C0+2C1+2C2)+....nCn(nC1+nC2+...nCn)
=nC121+nC222+...nCn2n
=nC020+nC121+nC222+...nCn2n[nC020]
=(1+2)n1
=3n1

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