There are 7 women and 5 men in a department. How many ways can a committee of 4 people be selected? How many ways can this committee be selected if there must be 2 men and 2 women on the committee? How many ways can this committee be selected if there must be at least 2 women on the committee?
Answer to relevant QuestionsThe Hawaiian alphabet consists of 7 consonants and 5 vowels. How many three-letter “words” are possible if there are never two consonants together and if a word must always end in a vowel? A drawer contains 11 identical red socks and 8 identical black socks. Suppose that you choose 2 socks at random in the dark. a. What is the probability that you get a pair of red socks? b. What is the probability that you ...The composition of the 108th Congress was 51 Republicans, 48 Democrats, and 1 Independent. A committee on aid to higher education is to be formed with 3 Senators to be chosen at random to head the committee. Find the ...A coin is tossed and a card is drawn from a deck. Find the probability of getting a. A head and a 6 b. A tail and a red card c. A head and a club The top-10 selling computer software titles last year consisted of 3 for doing taxes, 5 antivirus or security programs, and 2 “other.” Choose one title at random. a. What is the probability that it is not used for doing ...
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