a-b-c-180-a-b-c-N-number-of-triplets-possible-a-b-c-for-the-above-equation-are-the-order-of-a-b-c-doesn-t-matter-

Question Number 42224 by 33 last updated on 20/Aug/18

a + b + c = 180

a, b, c \in N

n u m b e r o f t r i p l e t s p o s s i b l e

(a, b, c) f o r t h e a b o v e

e q u a t i o n a r e ?

(t h e o r d e r o f a, b, c {d o e s n}^{'} t

m a t t e r)

Commented by rahul 19 last updated on 20/Aug/18

15, 931 = (179_{C_{2}}) ?

Commented by 33 last updated on 20/Aug/18

a n s w e r i s n o t k n o w n .

p l e a s e

c a n y o u s h o w t h e w o r k i n g .

Commented by rahul 19 last updated on 20/Aug/18

There is a direct formula for + ve

integers : n - 1_{C_{r - 1}}

For non . negative integers : n + r - 1_{C_{r - 1}}

They come from multinomeal theorem .

So in this case 179 - 1_{C_{3 - 1}} .

Commented by 33 last updated on 20/Aug/18

i n c a s e w e d o n t k n o w t h e

f o r m u l a ?

Commented by Tinkutara last updated on 20/Aug/18

See Q. 22040