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Discrete Math
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How many bit strings of length 8 have more s than s?
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A vending machine accepts only bills and bills. Find a recurrence relation and the initial conditions for the number of ways to deposit dollars, denoted as into the machine, where the order of bills matter.
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How many numbers to be selected from the set to guarantee that at least two of the selected numbers add up to 20?
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What is the coefficient of in the expansion of ?
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How many different strings can be made from shuffling the letters in LEARNINGSUPPORT?
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Find a recurrence relation for the number of bits strings of length n that contain a pair of consecutive 0’s
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At least how many cards must be chosen from a standard deck of 52 cards to guarantee that there are two diamond cards?
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Find a recurrence relation and the initial conditions for the number of ways that a kangaroo can jump meters if it can jump 1, 2 or 3 meters at a time.
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Find the number of paths from the origin to the point in the xy plane that use only unit steps to the right or upward.
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The username of a system must have at least 6 characters and no more than 10 characters. Each character must be an English letter( either lowercase or uppercase), or a digit. How many different usernames are available for this system?
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