Answer to Question #348610 in Discrete Mathematics for Yacci

Question #348610

What is the value of a1 for the recurrence relation in item 8? (refer to choices in item 7?




How many substrings can be formed from the string SOFTWARES contain the string SOFT together in any order?




How many strings of length 4 can be formed using the letters ABCDE if it starts with letters AC and repetition is not



allowed?



2. There are 10 multiple choice questions in an examination. Each of the questions have four choices. In how many ways



can an examinee give possible answers?



B. BINOMIAL COEFFICIENTS



Expand 2� + 4�



4 using the binomial theorem. (10 pts)



C. PIGEONHOLE PRINCIPLE (5 pts) . Explain briefly. Do you agree that there are 3 persons who have the same first and last name? Why and why not?

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