The number of 10 chips stacks that Dave can make if two stacks are not considered distinct is 110.
The solution
To get the symmetric stacks, one has to subtract the symmetric stacks to know the ones that are asymmetric.
The symmetric are flipped. Given that they are double counted what we have to do is to divide through by 2.
6/2 = 3
10/2 = 5
4/2 = 2
1/2(10C6) - (5C3) + (5C3)
0.5(210-10+10)
= 110
A linear equation represents a straight line.Thus, the solution of the system of linear equation depends on whether the lines intersect, not intersect or same line.
We have below cases:-
- The lines are non parallel and intersect at exactly one point. In this case we have one solution.
- The lines are parallel and hence never intersect. There is no solution in this case.
- The two lines represents the same line. Hence, infinitely many solutions.
We never got exactly two solutions because two lines can intersect at a single point.
Not so sure ask royalranger he is so smart
The only solution is x=-4