Another way to count the nunibci ut nonricga-uve integral solmiorb to an equation of the form ¦«i *-«2 + •• ¦ * i» " m to reduce the pioblein lo
one of finding ike number of n-tupies (r,. v;.....
y„) with 0 £ vi * *i X ¦ ¦ ¦ * v. S m. The reduction ic%uli> from letting y,mXi+Xj + ¦•• + s,for
each I ¦ 1.2.....n. Use Mi approach to derive
a general formula for the number ot nunnegalive integral solution* to .«, + x, + -•• + *. — m.
To find another way to count the number of nonnegative integral solutions to an equation of the form .
The objective is to determine the number of nonnegative integral solutions to
Select integers for the tuples from the integers .
The order of integers does not matter. So, use a combinations.
The number of nonnegative integral solutions is.
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