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{"ops":[{"insert":"What is the value of a1 for the recurrence relation in item 8? (refer to choices in item 7?"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"How many substrings can be formed from the string SOFTWARES contain the string SOFT together in any order?"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"How many strings of length 4 can be formed using the letters ABCDE if it starts with letters AC and repetition is not"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"allowed?"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"2. There are 10 multiple choice questions in an examination. Each of the questions have four choices. In how many ways"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"can an examinee give possible answers?"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"B. BINOMIAL COEFFICIENTS"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"Expand 2\ufffd + 4\ufffd"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"4 using the binomial theorem. (10 pts)"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"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?"},{"insert":"\n"}]}

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