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