How many integral solution are possible for x+y+z=7. x,y,z >0, and all are integers.

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08 Jan 2013 Find the possible values

How many integral solution are possible for x+y+z=7.
x,y,z >0, and all are integers.

OPtion

1) 10
2) 11
3) 12
4) 13
5) 14
6) 15
7) 16
8) 17
9) 18
10) 19

Solution

1 is minimum value of x, y and z all so 7-1-1-1 = 4
and total no. of variables = 3
4+3-1 = 6
so possible no. of outcomes = 6*5/2*1 = 15

Correct Option: 6 Best Solution (1)