A java program to add/remove String array elements

public class MyClass {

    private static final int MAX_COURSES = 30;
    private String courses[];
    private int numCourse;

    public MyClass() {
        courses = new String[MAX_COURSES];
        numCourse = 0;
    }

    void showCourses() {
        int lastcount = numCourse - 1;
        System.out.print("Courses: { ");
        for (int i = 0; i < numCourse; i++) {
            if (i != lastcount) {
                System.out.print(i + "->" + courses[i] + ", ");
            } else {
                System.out.println(i + "->" + courses[i] + " }");
            }
        }
    }

    public boolean addCourse(String course) {

        for (int i = 0; i < numCourse; i++) {
            if (courses[i].equals(course)) {
                System.out.println("\'" + course + "\'" + " already exists");
                return false;
            }
        }
        courses[numCourse] = course;
        numCourse++;
        System.out.println("\'" + course + "\'" + "added successfully");
        return true;
    }

    public boolean removeCourse(String course) {
        boolean exitst = false;
        int deleteIndex = 100;

        for (int i = 0; i < numCourse; i++) {
            if (courses[i].equals(course)) {
                deleteIndex = i;
                exitst = true;
                break;
            }
        }

        if (exitst) {
            for (int i = deleteIndex; i < numCourse; i++) {
                courses[i] = courses[i + 1];
            }

            System.out.println("\'" + course + "\'" + "deleted");
            --numCourse;
            return true;

        } else {
            System.out.println("\'" + course + "\'" + " not exist to delete");
            return false;
        }

    }

    public static void main(String args[]) {
        MyClass c = new MyClass();
        c.addCourse("one");
        c.addCourse("two");
        c.addCourse("three");
        c.showCourses();

        c.removeCourse("xyxyx");
        c.removeCourse("two");
        c.addCourse("four");
        c.addCourse("four");
        c.showCourses();
    }

}