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# binomial problem

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(a) Simplify $$\frac{\binom{n}{k}}{\binom{n}{k - 1}}.$$

(b) In the expansion of $$(1 + x)^n$$, there exist three consecutive coefficients a, b, c that satisfy a:b:c = 1:7:35. Find the positive integer n.

Jan 19, 2020

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(a)

(b)

Jan 19, 2020