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August 2022
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Пример с факториалами! Решите ПОЖАЛУЙСТА
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Беня2018
A! = 1*2*3*....*(a-1)*a
Pₐ = a!
Aₐᵇ = a!/(a-b)!
Cₐᵇ = a! / (b!*(a-b)!))
P₂₀ / A₂₀¹⁵ = 20! / 20!/(20-15)! = 20! * 5! / 20! = 5! (20! сокращаются)
A₂₀⁵ / C₂₀⁵ = 20!/(20-5)! / 20!/(5!*(20-5)!) = 20! / 15! * (5!*15! / 20!) = 5! (20 и 15 сокращаются)
P₂₀ / A₂₀¹⁵ - A₂₀⁵ / C₂₀⁵ = 5! - 5! = 0
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Answers & Comments
Pₐ = a!
Aₐᵇ = a!/(a-b)!
Cₐᵇ = a! / (b!*(a-b)!))
P₂₀ / A₂₀¹⁵ = 20! / 20!/(20-15)! = 20! * 5! / 20! = 5! (20! сокращаются)
A₂₀⁵ / C₂₀⁵ = 20!/(20-5)! / 20!/(5!*(20-5)!) = 20! / 15! * (5!*15! / 20!) = 5! (20 и 15 сокращаются)
P₂₀ / A₂₀¹⁵ - A₂₀⁵ / C₂₀⁵ = 5! - 5! = 0
Verified answer
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