Q6. Let n be n₁ + N₂ + N3 +・・・+nt, where each n; is a positive integer. Use the definition of binomial coefficients to prove that n₁ + n1 + nt -1₁) (1²₂ + nt ) (ns + ... + ₁) ... (1²) (1² = n3 n₂ + ... + nt n2 n! nt n₁!n₂!...nt!
Q6. Let n be n₁ + N₂ + N3 +・・・+nt, where each n; is a positive integer. Use the definition of binomial coefficients to prove that n₁ + n1 + nt -1₁) (1²₂ + nt ) (ns + ... + ₁) ... (1²) (1² = n3 n₂ + ... + nt n2 n! nt n₁!n₂!...nt!
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 26E
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