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# HW6 - COSC 208(Spring 2009 HW 6 Due In the questions below...

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COSC 208 (Spring 2009) HW 6 Due: 05/04/09 In the questions below suppose that a “word” is any string of seven letters of the alphabet, with repeated letters allowed. 1. How many words begin with A or B or end with A or B? 2.How many words begin with a vowel and end with a vowel? 3.How many words begin with a vowel or end with a vowel? In the questions below suppose you have a class with 30 students — 10 freshmen, 12 sophomores, and 8 juniors. 4.In how many ways can you put all 30 in a line? 5.In how many ways can you put all students in a line so that the freshmen are first, the sophomores are in the middle, and the juniors are at the end? 6.In how many ways can you get a committee of 7? 7.In how many ways can you get a committee of 4 freshmen and 3 sophomores? In the questions below (8 – 12) suppose you have 30 books (15 novels, 10 history books, and 5 math books). Assume that all 30 books are different. In how many ways can you 8.In how many ways can you put the 30 books in a row on a shelf?

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