Question

Find the no. of Non-Negative integral solutions of the inequality:
x+y+z ≤3
a)15
b)20
c)25
d)none of these

Answer 1

Answer:

20 is answer mark me brainlist

Answer 2

The number of positive integral solutions of the equation x

1

+x

2

+x

3

+....+x

r

=n is

n−1

C

r−1

. ⋅ The number of non-negative integral solutions of the equation x

1

+x

2

+x

3

+....+x

r

=n is

n+r−1

C

r−1

.

Required number of non-negative integral solution is =

10+3−1

C

3−1

=

12

C

2

I hope that this answer may help u....