The number of non negative integral solutions for the equations a+b+c+d+e=16 and a+b+c=7 is
A
36
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
185
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
192
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
360
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is D360 Here, a+b+c+d+e=16 and a+b+c=7 ∴d+e=9
Number of non negative integral solutions of a+b+c=7 =7+3−1C3−1=9C2=36
Number of non negative integral solutions of d+e=9 =9+2−1C2−1=10C1=10 ∴ required solution =36×10=360