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How-many-possibilities-are-there-for-picking-random-numbers-that-ranges-from-1-3-that-sum-up-to-7-




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?
$$ \\ $$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
is there a general formula for any number n instead of 7?
$$\mathrm{is}\:\mathrm{there}\:\mathrm{a}\:\mathrm{general}\:\mathrm{formula}\:\mathrm{for}\:\mathrm{any}\:\mathrm{number}\:\mathrm{n}\:\mathrm{instead}\:\mathrm{of}\:\mathrm{7}? \\ $$
Commented by mr W last updated on 03/Feb/23
i think you should be able to find out   by yourself.
$${i}\:{think}\:{you}\:{should}\:{be}\:{able}\:{to}\:{find}\:{out}\: \\ $$$${by}\:{yourself}. \\ $$
Commented by mr W last updated on 03/Feb/23
no.
$${no}. \\ $$
Commented by mr W last updated on 03/Feb/23
https://en.m.wikipedia.org/wiki/Partition_(number_theory)

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