11 (2) n! (nk)!k!, where 0! = 1 and for > 0, n! 10....

 

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11 قرانية بالصوت (2) n! (nk)!k!, where 0! = 1 and for > 0, n! 10. Let k,n be integers such that 0≤ k ≤n and (1) (7) < (x + 1) (Ⓒ) (^) + (x + 1) = (^2 + 1) (¹) (7) i 20 is an integer. for k+ 1 ≤n/2. [Hints: (b) observe that for k<n. (e) if p is prime and 1 ≤ k ≤p" - 1, then (²) ₁ and use induction on n in part (c).] the binomial coefficient n(n-1)(n-2)-.-2.1. - ¹ (x + ₁) = (^)^² = 5; · (™) - () - (d) note that = = 1 k+1 is divisible by p. 11 قرانية بالصوت (2) n! (nk)!k!, where 0! = 1 and for > 0, n! 10. Let k,n be integers such that 0≤ k ≤n and (1) (7) < (x + 1) (Ⓒ) (^) + (x + 1) = (^2 + 1) (¹) (7) i 20 is an integer. for k+ 1 ≤n/2. [Hints: (b) observe that for k<n. (e) if p is prime and 1 ≤ k ≤p" - 1, then (²) ₁ and use induction on n in part (c).] the binomial coefficient n(n-1)(n-2)-.-2.1. - ¹ (x + ₁) = (^)^² = 5; · (™) - () - (d) note that = = 1 k+1 is divisible by p.

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