In some problems of occupancy theory we are concerned with the number of ways in which certain indistinguishable objects can be distributed among individuals, urns, boxes, or cells with at least one in each cell. Find an expression for the number of ways in which r indistinguishable objects can be distributed among n cells with at least one in each cell, and rework the numerical part of Exercise 1.9 with each of the three customers getting at least one loaf of bread.
Answer to relevant QuestionsConstruct the seventh and eighth rows of Pascal’s triangle and write the binomial expansions of (x+y)6 and (x+y)7. A thermostat will call for heat 0, 1, or 2 times a night. Construct a tree diagram to show that there are 10 different ways that it can turn on the furnace for a total of 6 times over 4 nights. The price of a European tour includes four stopovers to be selected from among 10 cities. In how many different ways can one plan such a tour (a) If the order of the stopovers matters; (b) If the order of the stopovers does ...Rework Exercise 1.56 given that at least two of the cans of tennis balls were sold on each of the three days. In exercise On a Friday morning, the pro shop of a tennis club has 14 identical cans of tennis balls. If they are ...The probability that a one- car accident is due to faulty brakes is 0.04, the probability that a one- car accident is correctly attributed to faulty brakes is 0.82, And the probability that a one- car accident is incorrectly ...
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