wiz-icon
MyQuestionIcon
MyQuestionIcon
21
You visited us 21 times! Enjoying our articles? Unlock Full Access!
Question

The number of non-negative integral solutions of the equation, x + y + 3z = 33 is

A
120
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
135
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
210
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
520
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 210
Consider cases when z = 0, 1, 2, . . . . , 11
x + y = 33, 33, 27, . . .
Total number of solutions of x + y = 33, 30, 27, . .
= 34 + 31 + 28 + . . . + 1 (12 times)
=122 (1+34) = 210

flag
Suggest Corrections
thumbs-up
7
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
A+B+C=N (N Fixed)
QUANTITATIVE APTITUDE
Watch in App
Join BYJU'S Learning Program
CrossIcon