Question and Answers Forum

All Questions      Topic List

Permutation and Combination Questions

Previous in All Question      Next in All Question      

Previous in Permutation and Combination      Next in Permutation and Combination      

Question Number 22040 by Tinkutara last updated on 10/Oct/17

$$\mathrm{The}\mathrm{total}\mathrm{number}\mathrm{of}\mathrm{non}-\mathrm{similar}$$$$\mathrm{triangles}\mathrm{which}\mathrm{can}\mathrm{be}\mathrm{formed}\mathrm{such}$$$$\mathrm{that}\mathrm{all}\mathrm{the}\mathrm{angles}\mathrm{of}\mathrm{the}\mathrm{triangle}\mathrm{are}$$$$\mathrm{integers}\mathrm{is}$$

Commented by mrW1 last updated on 01/Jan/18

$$thequestionisinhowmanyways$$$$180canbebuiltassumofthreenumbers$$$$whichare⩾1.thisisthecoefficient$$$$of{x}^{180}termoffollowinggenerating$$$$function:$$$$\frac{x^3}{(1-x)(1-x^2)(1-x^3)}$$$$whichis2700.$$

Commented by mrW1 last updated on 01/Jan/18

Commented by Tinkutara last updated on 01/Jan/18

How do you find the expression for this generating function?

Commented by mrW1 last updated on 01/Jan/18

Terms of Service

Privacy Policy

Contact: info@tinkutara.com