formulate the logical constraint for the following statements where a b c and d are all binary variables show using inequality signs plusminus signs a if a happens then b or c happens b if a 53752

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(a) Show that p plus signs and q minus signs may be placed in a row so that no two minus signs are together in p+1q ways. (b) Show that n signs, each of which may be plus or minus, may be placed in a row with no two minus signs together in f(n) ways, where f(0)=1, f(1)=2 and f(n)=f(n-1)+f(n-2), n>1 (c) Comparison of (a) and (b) requires that f(n)=∑q=0^mn-q+1q, m=[(n+1) / 2] with [x] indicating the largest integer not greater than x. Show that g(n) =∑q=0^mn-q+1q =g(n-1)+g(n-2) and

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