SOLUTION: What are the 4 digit numbers with a total of 18. List them. (Zero can be a first digit.) Is there a formula to do it ? Thanx in advance :-)
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Question 940999: What are the 4 digit numbers with a total of 18. List them. (Zero can be a first digit.) Is there a formula to do it ? Thanx in advance :-)
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Assuming you mean digit sum of 18, there are 670 of them, which would take up a lot of space to list here, so here is my Python code:
def counter():
__count = 0
__for a in range(0,10):
____for b in range(0,10):
______for c in range(0,10):
________for d in range(0,10):
__________if a+b+c+d == 18:
____________count += 1
__print count
The generating function for F(x) # of 4-digit numbers with the sum-of-digits property (leading 0's included) is
 = (1+x+x^2+\ldots+x^9)(1+x+x^2+\ldots+x^9)(1+x+x^2+\ldots+x^9)(1+x+x^2+\ldots+x^9))
^4)
^4)
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