Digit sum

How many are three-digit numbers that have a digit sum of 6?

Result

n =  21

Solution:

Solution in text n =

The equations have the following integer solutions:
6 = a+b+c
a>0

a=1, b=5, c=0
a=1, b=4, c=1
a=1, b=3, c=2
a=1, b=2, c=3
a=1, b=1, c=4
a=1, b=0, c=5
a=2, b=4, c=0
a=2, b=3, c=1
a=2, b=2, c=2
a=2, b=1, c=3
a=2, b=0, c=4
a=3, b=3, c=0
a=3, b=2, c=1
a=3, b=1, c=2
a=3, b=0, c=3
a=4, b=2, c=0
a=4, b=1, c=1
a=4, b=0, c=2
a=5, b=1, c=0
a=5, b=0, c=1
a=6, b=0, c=0

Number of solutions found: 21

Calculated by our Diofant problems and integer equations.







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