Avi's challenge part 1

Find the number of ways in which the number, 30 can be partitioned into three unequal parts, each part being a natural number.


The answer is 61.

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1 solution

Avi Solanki
Feb 29, 2016

Let.the numbers be a,b,c a+b+c=30 Since they have to.be natural numbers a+b+c=27 Number of ways to divide 30 unequally is (29c2- 1- 3*13)/3!= 61

Why we minus 29C2 with 1 and 3*13?

hanif adzkiya - 5 years, 3 months ago

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Please explain further.. @avi solanki

Anik Mandal - 5 years, 3 months ago

I.am.subtracting the ways in which 2 numbers are equal and when all are equal from the total number of ways.

avi solanki - 5 years, 3 months ago

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