6.6.64 Combinatorics

Condition: find the coefficients for \ (a = x^{2} \ cdot y^{2} \ cdot z^{4} \), \ (b = x^{2} \ cdot y \ cdot z^{3}, C = x^\ CDOT Y^{2} {2} \ quad \) in \ (\ quad \) decomposition \ (\ left (5 \ cdot x+4 \ cdot y+z^{2} \ right)^{6} \)