Considering this (a+b+c)^50. By binomial theorem, we know that (a+b)^n has n+1 terms. Now in our case lets consider 'b+c' as B'. Then we have, (a+B')^50 which has 50+1 terms and out of these 50 terms are dependent on B'. So those 50 terms further will be like (b+c), (b+c)^2, (b+c)^3....................