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Din08
@Din08
August 2022
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Второй номер,решите пожалуйста.очень срочно
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nKrynka
Решение
a) C₆₁³ - C₆₀² = C₆₀² + C₆₀³
- C₆₀² = C
₆₀³ = (60!) / [(60 - 3)*3!] =
= (58*59*60) / (1*2*3) = 34220
б) C₉⁵ + C₉⁶ + C₁₀⁷ = C₁₀⁶ + C₁₀⁷ = C₁₁⁷ = (11! ) / [(11 - 7)! * 7!] =
= (8*9*10*11) / (1*2*3) = 440
применяем рекуррентное свойство
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Answers & Comments
a) C₆₁³ - C₆₀² = C₆₀² + C₆₀³ - C₆₀² = C₆₀³ = (60!) / [(60 - 3)*3!] =
= (58*59*60) / (1*2*3) = 34220
б) C₉⁵ + C₉⁶ + C₁₀⁷ = C₁₀⁶ + C₁₀⁷ = C₁₁⁷ = (11! ) / [(11 - 7)! * 7!] =
= (8*9*10*11) / (1*2*3) = 440
применяем рекуррентное свойство