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2 votes
2 answers
171 views

How many combination of $3$ integers reach given number?

I have 3 numbers $M=10$ $N=5$ $I=2$ Suppose I have been given number $R$ as input that is equal to $40$ so in how many ways these $3$ numbers arrange them selves to reach $40$ e.g. $$10+10+10+...
Nouman's user avatar
  • 23
6 votes
3 answers
1k views

Counting problem: generating function using partitions of odd numbers and permuting them

We have building blocks of the following lengths: $3, 5, 7, 9, 11$ and so on, including all other odd numbers other than $1$. Each length is available in two colors, red and blue. For a given number $...
Kristi's user avatar
  • 61