1. A set of letters consists of 9 consonants and 4 vowels. How many three-letter "words" are possible using the letters in this set if there are never two consecutive vowels and if a word must always end in a consonant? The words are not case sensitive and letters may repeat.
Answer the following:
1. A set of letters consists of 9 consonants and 4 vowels. How many three-letter "words" are possible using the letters in this set if there are never two consecutive vowels and if a word must always end in a consonant? The words are not case sensitive and letters may repeat.
2. Out of 90 people, 49 like corn, 19 like corn and carrots, and 17 like neither corn nor carrots. How many people like only carrots?
3. At a drop-in mathematics tutoring center, each teacher sees 4 to 8 students per hour. The probability that a tutor sees 4 students in an hour is 0.147; 5 students, 0.208; 6 students, 0.221; and 7 students, 0.237. Find the probability that a tutor sees 8 students in an hour.
4. From a group of 18 men and 12 women, 9 people are randomly selected to form a committee. Find the probability that exactly 4 men are on the committee.
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