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(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. |
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