Question Number 186331 by Red1ight last updated on 03/Feb/23
$$ \\ $$How many possibilities are there for picking random numbers that ranges from 1-3 that sum up to 7?
Commented by mr W last updated on 03/Feb/23
8 possibilities:
3+3+1
3+2+2
3+2+1+1
3+1+1+1+1
2+2+2+1
2+2+1+1+1
2+1+1+1+1+1
1+1+1+1+1+1+1
Commented by Red1ight last updated on 03/Feb/23
$$\mathrm{is}\:\mathrm{there}\:\mathrm{a}\:\mathrm{general}\:\mathrm{formula}\:\mathrm{for}\:\mathrm{any}\:\mathrm{number}\:\mathrm{n}\:\mathrm{instead}\:\mathrm{of}\:\mathrm{7}? \\ $$
Commented by mr W last updated on 03/Feb/23
$${i}\:{think}\:{you}\:{should}\:{be}\:{able}\:{to}\:{find}\:{out}\: \\ $$$${by}\:{yourself}. \\ $$
Commented by mr W last updated on 03/Feb/23
$${no}. \\ $$
Commented by mr W last updated on 03/Feb/23
https://en.m.wikipedia.org/wiki/Partition_(number_theory)