What is the number of ways to arrange a deck of 52 cards in any order?
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What is the derivative of f(x) = (sin(2x))^3 * cos(3x) + √(x^2 + 1) + e^(2x) + ln(x^2 + 1) using the chain rule?
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Find the resultant displacement when a vector of magnitude 5 units is added to a vector of magnitude 3 units at an angle of 45 degrees with regards to the x-axis.