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What is the minimum number of students that must be enrolled in the promotion 2023 of USTH to guarantee that there are at least 30 students who were born in the same month (not necessarily the same year).
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There are 5 questions in the final exam. How many ways are there to assign points to the questions if the total number of points is 20 and the number of points for each question must be an integer not smaller than 2?
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In how many ways can a photographer at a wedding arrange 6 people, including the bride and the groom, in a row so that the bride is next to the groom.
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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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