A dance class consists of 22 students, of which 10 are women and 12 are men. If 5 men and 5 women are to be chosen and then paired off, how many results are possible?
Answer to relevant QuestionsA student has to sell 2 books from a collection of 6 math, 7 science, and 4 economics books. How many choices are possible if (a) Both books are to be on the same subject? (b) The books are to be on different subjects? Delegates from 10 countries, including Russia, France, England, and the United States, are to be seated in a row. How many different seating arrangements are possible if the French and English delegates are to be seated next ...The following identity is known as Fermat’s combinatorial identity: Give a combinatorial argument (no computations are needed) to establish this identity. Consider the set of numbers 1 through n. How many subsets of size k ...In how many ways can n identical balls be distributed into r urns so that the ith urn contains at least mi balls, for each i = 1, . . ., r? Assume that A total of 28 percent of American males smoke cigarettes, 7 percent smoke cigars, and 5 percent smoke both cigars and cigarettes. (a) What percentage of males smokes neither cigars nor cigarettes? (b) What percentage smokes ...
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