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145HW1

# 145HW1 - A and no odd digits 5 You draw n lines in the...

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Homework assignment Number 1 Math 145 // due on 01/12/2007 1. Problems Section 1.8: 8, 21, 24, 27, 28, 34. 2. Problem 1.8.5 page 21. 3. How many permutations of the set S = { 1 , . . . , n } have a single cycle? How many l cycles can you form on S ? 4. A license plate in some country is formed with 3 letters and 2 digits. Determine the number of plates containing no vowel. Determine the number of plates not containing the letter
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Unformatted text preview: A and no odd digits. 5. You draw n lines in the planes in such a way that no two lines are parallel and no subset of three lines intersect at the same point. How many points of intersection are there ? Show by induction that the number of regions deﬁned by the n lines is n ( n + 1) / 2 + 1 . 6. Problems Section 2.5: 4. 1...
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