Home
Class 12
MATHS
Find the number of positive integral sol...

Find the number of positive integral solutions of the equation `x+y+z=12.`

Text Solution

Verified by Experts

Here the number of solutions is equivalent to the number of ways 12 identical objects can be distributed among three persons if empty groups are not allowed that is `.^(12-1)C_(3-1)= .^(11)C_(2)=55`
Promotional Banner

Similar Questions

Explore conceptually related problems

The number of positive integral solutions of the equation x+2y+z=25 is

Find the number of positive unequal integral solutions of the equation x+y+z+w=20.

Find the number of non-negative integral solutions of the equation x+y+z=10 .

Find the number of positive integral solutions of abc=45.

The number of positive integral solution sets of the equation xyz=150 is

Number of positive unequal integral solutions of the equation x+y+z=12 is

Find the number of positive unequal integral solution of the equation x+y+z=20

Find the number of positive integral solutions of the inequality 3x+y+z<=30.