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how to solve this?

Posted: Fri Apr 05, 2019 8:27 pm
by Badhonholmes
in how many ways 10 can be the sum of 4 natural numbers?
10=1+2+3+4
10=1+1+1+7
10=1+1+2+6
10=1+1+3+5
10=1+1+4+4

10=2+2+2+4
10=2+2+3+3
and these permutations add up to 68 how to get other permutations?

Re: how to solve this?

Posted: Wed Apr 10, 2019 10:17 am
by samiul_samin
Formula$\dbinom{n-1}{k-1}$
You can get a link of nice book
Here

Re: how to solve this?

Posted: Wed Apr 10, 2019 9:11 pm
by Badhonholmes
i know the formula. i wanted to count by hands but could not find more than 68