21nothin jus diff variables ....... lyk a,b,c
the nos 1,2,3 r in subscritp
Not a dbt.......
nice concept :
Find no of non-negatiove integral solution of
a + b + c + 4d = 20
wer a,b,c,,d are whole nos.
Does ne1 hav diff methd.........
i did it by multinomial thrm
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12 Answers
21
3(1+t+t^2..............)^3 (1 + t^4 + t^8 + .......)
(1-t)^3 (1-t^4) ...........
(1-t)^3 - t^4(1-t)^3
coeff of t^20 is to be found ........
13i got a different way....
take d=0,1,2,3,4,5
now
a+b+c=20
a+b+c=16
a+b+c=12
a+b+c=8
a+b+c=4
a+b+c=0
now calculate no of non-negatiove integral solution of them
22C2+18C2+.....+6C2+2C2=536
