4 votes 4 votes What is the coefficient of x10 in (1+x2+x4+x6+x8+....)(1+x4+x8+x12+....)(1+x6+x12+x18+...) ? Combinatory kenneth-rosen discrete-mathematics generating-functions + – Ayush Upadhyaya asked Oct 29, 2017 • edited Mar 4, 2019 by Pooja Khatri Ayush Upadhyaya 680 views answer comment Share Follow See all 5 Comments See all 5 5 Comments reply Show 2 previous comments Pawan Kumar 2 commented Oct 29, 2017 reply Follow Share Corrected now sir .. Thanks :) 1 votes 1 votes joshi_nitish commented Oct 29, 2017 reply Follow Share yes, it will be 5, (0,4,6) // (a,b,c) means xa is taken from 1st bracket, xb from 2nd and xc from 3rd respectivilly. (2,8,0) (4,0,6) (6,4,0) (10,0,0) 2 votes 2 votes Prabhanjan_1 commented Oct 30, 2017 reply Follow Share what if the power of x is big? say x^70 there is some pattern $\frac{1}{1-x^{2}} * \frac{1}{1-x^{4}}* \frac{1}{1-x^{6}}$ but couldn't generalise ..... 0 votes 0 votes Please log in or register to add a comment.
2 votes 2 votes "5" will be right answer :- Prateek kumar answered Jan 28, 2018 Prateek kumar comment Share Follow See all 0 reply Please log in or register to add a comment.