160s10spec2DRAFT1

# 160s10spec2DRAFT1 - Math 160 Special Assignment 1 Lowman...

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Math 160 Special Assignment 1 Lowman Fall 2007 1. How many subsets does the set A = { a,b,c,d,e,f,g } have? 2. How many subsets of A = { a,b,c,d,e,f,g } are there that have at least 3 elements? 3. In how many ways can four red books, ﬁve green books and six blue books be arranged on a shelf if the red books must be grouped together and the green books must be grouped together? 4. How many permutations of the letters ABBCCCDDDDEIOU are there? 5. How many permutations of the letters aeiouBBCCCDDDD are there if the vowels must be together on either end of the sequence but not in any particular order. 6. How many permutations of the letters ABBCCCDDDDEIOU are there if the vowels must be in alphabetical order? 7. What is the probability that can you be Delta a ﬁve card poker hand that has three cards of one denomination and two of another denomination? 8. What is the probability that can you be dealt a ﬁve card poker hand that has two cards of one denomination ,two of a second denomination, and one card of a third denomination? 9. How many ways can 12 people be split into two teams of 6 if the two teams will compete against each other? 10. Two teams A and B are to play each other in a tournament where the ﬁrst team to win ﬁve games wins. How many sequences are there? For example the sequence BAAAAA would indicate that team A won the tournament by winning all but the ﬁrst game. There are no

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## This note was uploaded on 04/04/2010 for the course MATH 160 taught by Professor Doyle during the Spring '08 term at Ill. Chicago.

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160s10spec2DRAFT1 - Math 160 Special Assignment 1 Lowman...

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