Aₐᵇ = a! / (a - b)!
A₂₀⁶ = 20! / (20 - 6)! = 20! / 14!
A₂₀⁵ = 20! / (20 - 5)! = 20! / 15!
A₂₀⁴ = 20! / (20 - 4)! = 20! / 16!
1 / A₂₀⁴ = 16! / 20!
A₂₀⁶ + A₂₀⁵ = 20! / 14! + 20! / 15! = 20!*(15/15! + 1/15!) =16 * 20! / 15!
(A₂₀⁶ + A₂₀⁵) / A₂₀⁴ = 16*20!/15! * 16! / 20! = 16*16 = 256
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Verified answer
Aₐᵇ = a! / (a - b)!
A₂₀⁶ = 20! / (20 - 6)! = 20! / 14!
A₂₀⁵ = 20! / (20 - 5)! = 20! / 15!
A₂₀⁴ = 20! / (20 - 4)! = 20! / 16!
1 / A₂₀⁴ = 16! / 20!
A₂₀⁶ + A₂₀⁵ = 20! / 14! + 20! / 15! = 20!*(15/15! + 1/15!) =16 * 20! / 15!
(A₂₀⁶ + A₂₀⁵) / A₂₀⁴ = 16*20!/15! * 16! / 20! = 16*16 = 256