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1. How many closed necklaces of length 7 can be made with 3 colors? (notice that 7 is a prime) 2. How many closed necklaces of length 10 can be made with 3 colors (this is di erent
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?
Both need to be a full page, detailed proof. Not just a few lines of proof. (1) “Every convergent sequence contains either an increasing, or a decreasing subsequence (or possibly
State DeMorgan's law. Prove it using the truth table. Ans: DeMorgan's law defines that (i) (x ∨ y)' = x' ∧ y' (ii) (x ∧ y)' = x' ∨ y' Now let us dr
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use the point to generate a cosine function that models the sound wave. Name the amplitude Name the period Name the phase shift name the vertical shift Write the equation for the
The grade resistance is F=W sin θ, where θ is the grade and W is the weight of the automobile. What is the grade resistance of a 2500 pound car traveling on a 2.6 degree uphill gr
10 statements must be shown to be logically equivalent to the Statement the nxn matrix is invertible.
Case 1: Suppose we are given expressions like 3abc and 7abc and asked to compute their sum. If this is the case we should not worry much. Because adding like exp
Smith keeps track of poor work. Often on afternoon it is 5%. If he checks 300 of 7500 instruments what is probability he will find less than 20 substandard?
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