Question:
What is the number of positive integer solutions of x + y + z = 5?
What is the number of positive integer solutions of x + y + z = 5?
Options:
- a) 3
- b) 5
- c) 6
- d) 9
- a) 3
- b) 5
- c) 6
- d) 9
correct answer : c)
Explanation:
\ x + y + z = 5
(1, 1, 3) ® 3
2
!
! = 3 ways
(1, 2, 2) ® 3
2
!
! = 3 ways
T otal ways = 3 + 3 = 6
\ x + y + z = 5
(1, 1, 3) ® 3
2
!
! = 3 ways
(1, 2, 2) ® 3
2
!
! = 3 ways
T otal ways = 3 + 3 = 6