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Probability(a) The 7 letters from the city name, NEW YORK, are put into a bin and drawn out at random without replacement. The letters are arranged from left to right in the order they are drawn. Find the probability that the result spells NEW YORK.
(b) The same experiment as in part (a) above is done with the 7 letters from CHICAGO. Find the probability that the result spells CHICAGO. Is it the same as in part (a)? If so, why? If not, why not?
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A farmer wants to fence o a rectangular ?eld and then divide the ?eld in half with a fence down the middle (see diagram below). If he can only aord 240 ft. of fencing material, what is the width y which gives the maximum area of the ?eld?
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