MIT6_042JS10_lec26

MIT6_042JS10_lec26 - Mathematics for Computer Science...

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1 Albert R Meyer, April 9, 2010 lec 9F.1 Mathematics for Computer Science MIT 6.042J/18.062J Counting Albert R Meyer, April 9, 2010 lec 9F.2 Counting in Gambling What fraction of poker hands are “a pair of Jacks?” ( probability of a pair of Jacks) Albert R Meyer, April 9, 2010 lec 9F.5 # ops to update a data structure (# comparisons needed to sort n items) # steps in a computation (# multiplies to compute d n ) Counting in Algorithms Albert R Meyer, April 9, 2010 Counting in Cryptography # possible passwords # possible keys lec 9F.6 Albert R Meyer, April 9, 2010 lec 9F.8 Sum Rule If sets A and B are disjoint , then | A ! B | = | A | + | B | A B Albert R Meyer, April 9, 2010 lec 9F.9 The Sum Rule Class has 43 women, 54 men so total enrollment = 43 + 54 = 97 26 lower case letters, 26 upper case letters, and 10 digits, so # characters = 26+26+10 = 62 J 10 6 2 Image by MIT OpenCourseWare.
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2 Albert R Meyer, April 9, 2010 lec 9F.10 If there are 4 boys and 3 girls, there are 4 3 = 12 different boy/girl couples The Product Rule Albert R Meyer, April 9, 2010 lec 9F.11
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This note was uploaded on 05/27/2011 for the course CS 6.042J taught by Professor Prof.albertr.meyer during the Spring '11 term at MIT.

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MIT6_042JS10_lec26 - Mathematics for Computer Science...

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