A)Five sprinters have made it to the Olympic finals in the 100-meter race. In how many different ways can the gold, silver, and bronze medals be awarded?

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A)Five sprinters have made it to the Olympic finals in the 100-meter race. In how many different ways can the gold, silver, and bronze medals be awarded?

B)At the College of Charleston, it was found that 70% of students are taking a home economics class, 77% of students are taking a Spanish class, and 66% of students are taking both.

Find the probability that a randomly selected student is taking a home economics class or a Spanish class. You may answer with a fraction or a decimal rounded to three places if necessary.

 

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As Prof. S. N. De said

"A permutation of a set is defined as an arrangement of its members into a sequence or if the set is already ordered, a rearrangement of the elements of that set. It also refers to the process of changing the linear order of an ordered set. For example, let us assume there are three persons A, B and C sitting beside each other. The different ways in which this sitting arrangement is possible are: ABC, ACB, BAC, BCA, CAB and CBA i.e. there will be 6 ways. Hence, the number of permutations of 3 different things is 6."

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