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Suppose we want to arrange p things of one type and q things of another type into a line.
(a) Argue that the p things can act as unlabeled balls and the q things can form separators between labeled boxes. How many ways are there to line up all the things?
(b) Argue that the q things can act as unlabeled balls and the p things can form separators between labeled boxes. How many ways are there to line up all the things?
(c) Aside from the fact that we are counting the same situation in two different ways, why do we get the same answer? (That is, give a symbolic explanation.)
In a superlottery, players win a fortune if they choose the eight numbers selected by a computer from the positive integers not exceeding 100. What is the probability that a player wins this superlottery?
Probability for Poisson Random Variable, During summer weekdays, boats arrive at the inlet drawbridge according to the Poisson distribution at a rate of 3 per hour
Find the current ratio for George's business and the current ratio for José's business, given the following information
Suppose the population standard deviations for men and for women both were about 100. Construct a 95% confidence interval to estimate the difference in the population mean scores on this event for men and women.
Evaluate the two trigonometric functions using its period as an aid
A motorboat travels 290 km in 5 hours going upstream. It travels 430 going downstream in the same amount of time.
You have just graduated from LUMS with a very respectable CGPA and are now applying for jobs. Suppose you have 10 copies of your CV, each customized for a particular job description.
new engraver cost 25000 one-year loan cost 12 interest revenue per day from engraving 975 profit margin on engraving 25
Their answers revealed a mean of 8.100000000 with a variance of 6 minutes. Construct a 95% confidence interval for the time it takes a salesperson to talk to a potential customer.
Find an equation for the tangeant plane at your present location and find the height of (i.e., on) the tangeant plane if you move from your present location by Δx = -5/4 mi and Δy = 1/2mi
The world's population was 5.51 billion on January 1, 1993 and 5.88 billion on January 1, 1998. Assume that at any time the population grows at a rate proportional to the population at that time. In what year should the world's population reach 7 ..
You are playing a game where you roll a die and win 0 jellybeans for rolling a one or two; 1 jellybean for rolling a three, four, or five; and 2 jellybeans for rolling a six. Each time you play the game, you must pay 1 jellybean.
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