Find the coefficient of x2y3z3w in the expansion of (2x+3y−4z+w)9.
Answer to relevant QuestionsA 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. With reference to Exercise 1.1, suppose that there is a third step, and if the first step is made in the ith way and the second step in the jth way, the third step can be made in n3ij ways. (a) Use a tree diagram to verify ...A shipment of 10 television sets includes three that are defective. In how many ways can a hotel purchase four of these sets and receive at least two of the defective sets? With reference to Figure 2.15, verify that events A, B, C, And D are independent. The region rep-resenting A consists of two circles, And so do the regions representing B And C. Figure 2.15 An art dealer receives a shipment of five old paintings from abroad, And, on the basis of past experience, she feels that the probabilities are, respectively, 0.76, 0.09, 0.02, 0.01, 0.02, And 0.10 that 0, 1, 2, 3, 4, or all ...
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