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The graph Cn, n ≥ 3 contains n vertices and n edges creating a cycle. For what value of n is Cn a bipartite graph? Draw the bipartite graph of Cn to give explanation for your answer.
Ans: For n = 2k, k = 2, 3, 4, ..., Cn is a bipartite graph. C6 that is drawn below which is bipartite graph.
Derive the probability distribution of the completion times: a. The following probability distributions relate to the completion times, in weeks, T A and T B of two independ
find s10 for the arithmetic sequenxe inwhich a1=5 and a10=68
A group of ?ve friends gone out to lunch. The total bill for the lunch was $53.75. Their meals all cost about the similar, so they needed to split the bill evenly. Without consider
A man travels 600km partly by train and partly by truck. If he covers 120km by train and the rest by truck, it takes him eight hours. But, if he travels 200km by train and the res
without a calculator give the exact value of each of the following logarithms. (a) (b) log1000 (c) log 16 16 (d) log 23 1 (e) Solution (b) log10
The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to
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A person spent 12.5% of his money and then rs.1600 and then 40% of the remaining,now left rs.960 with him.What is his original money?
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