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How many solutions does the equation have? (Inclusion-exclusion principle)
How many solutions does the equation $x_1+x_2+x_3+x_4=1$ have? $x_i$ are integers between $-3$ and $3$.
Hints please!
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1
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1
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Combinations of flowers using the counting method for integer partitions.
I have this problem to complete that wants to know how many combinations of flowers can there be in a bouquet of 25 flowers, such that:
$r+c+d+t=25$ where $r=$roses, $c=$carnations, $d=$daisies and $...
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How many distinct, non-negative integer solutions are there for $2x_0+\sum_{i=1}^{m}{x_i}=n$?
We are given constants $m$ and $n$. How many non-negative integer solutions are there for $2x_0+\sum_{i=1}^{m}{x_i}=n$ satisfying the condition that$x_i\neq x_j$ if $i\neq j$?
I thought a good first ...
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