Consider the problem: (supplied at test time. e. g. find the sum of an array). State how the problem can be solved recursively. Specifically, identity: the smaller problem and the base case. Then write a java function which implements your solution. 2. How many instance methods does the Java String class have

Create a class named majors that includes an enumeration for the six majors offered by a college as follows: acc, chem, cis, eng, his, phys. display the enumeration values for the user, then prompt the user to enter a major. display the college division in which the major falls. acc and cis are in the business division, chem and phys are in the science division, and eng and his are in the humanities division. save the file as majors.java.