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

The product of non-negative integral solution of x1+x2+x3+4x4=20 is

A
436
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
536
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
602
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of thes
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 536
Number of non-negative integral solution of the given expression=coefficient of x20 in (1x)1(1x)1(1x)1(1x4)1= coefficient of x20 in (1x)1(1x4)1 = coefficient of x20 in (1+3c1x+4c2x2+5c3x3+....+10c8x8+..+14c12x12...)×(1+x4+x8+x16+...)=(1+6c4+10c8+14c12+18c16+22c20)=(1+6c2+10c2+14c2+18c2+22c2)
=1+15+45+91+153+231=536

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Geometric Representation and Trigonometric Form
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon