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(a) There are a total of strings that start with two 0's and strings that ends with 1. We need to find the cardinality of a set . The Sum Rule gives us . Set contains strings of length 8 that both begin with 00 and end with 1 ().
(b) Let be a set of computer science majors and represents maths majors. We need to find the cardinality of set . We are given . The cardinality of a union of the two following sets is as follows
Answer: 60 students.