(a) Prove Theorem 2.(b) Prove the last statement of Theorem 3.(c) Derive (11) from (8)(d) By the binomial theorem,So that akbn-k has the coefficient (nk). Can you conclude this from Theorem 3 or is this a mere coincidence?(e) Prove (14) by using the binomial theorem.(f) Collect further formulas for binomial coefficients from the literature and illustrate themnumerically. k-0 " alt="(a) Prove Theorem 2. (b) Prove the last statement of">

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22 (a + b)" = Σ k-0