problem # 26. Evaluate the given expression and express the result using the usual format for writing numbers (instead of scientific notation). 56P2=– problem # 27. Perform the indicated calculation is 6P3/10P4=— (round to four decimal places as needed). problem # 28. Perform the indicated calculation. 9C3/13C3=—(round to the nearest thousandth as needed). problem #30. Outside a home, there is a 9-key keypad with letters A,B,C,D,E,F,G,H, and I that can be used to open the garage if the correct nine letter code is entered. Each key may be used only once. How many codes are possible? The number of possible code is—-. problem #31. A golf course architect has six linden trees, four white birch trees, and two bald cypress trees to plant in a row along a fairway. In how many ways can the landscaper plant the trees in a row, assuming that the trees are evenly spaced? The trees can be planted in — different ways. problem # 32. Shuttle astronauts each consume an average of 3000 calories per day. One meal normally consist of a main dish, a vegetable dish, and two different desserts. The astronauts can choose from 10 main dishes, 7 vegetable dishes, and 12 desserts. How many different meals are possible? The number of different meals possible is—-. problem #33. A basket contains 9 eggs, 3 of which are cracked. If we randomly select 4 of the eggs for hard boiling what is the probability of the following events?( A.) All cracked eggs are selected. (B). None of the cracked eggs are selected. (C). Two of the cracked eggs are selected. (a). the probability that none of the cracked eggs are selected is—- (b). the probability that none of the cracked eggs are selected is—- (c) the probability that two of the cracked eggs are selected is— (Round all of them to four decimal places as needed.)

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