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

Evaluate (32)6+(3+2)6

A
678
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
950
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
970
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
670
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 950
Formula (1+x)n=knCo+nC1x+nC2x2+....+nCkx4+....+nCnxn =nk=0 nCkxn
(32)6=(3)66(3)5(2)+15(3)4(2)2 6(3)(2)5+(2)6 ....... (i)

(3+2)6=(3)6+6(3)5(2)+15(3)4+(2)2+ +6(3)(2)5+(2)6 ...... (ii)

Adding eqn (i) and (ii), we get
=1(3)6+2(153)4(22+2×15(3)2(2)4+2(2)6
=2[33+15×32×2+15×3×22+2×23]
=2[9+270+196]
=950

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