One office has a master's degree in education, a bachelor's degree in education, a master's degree in philosophy, and a bachelor's degree in philosophy. Of the four, A is not a master of education or a bachelor of philosophy; A and C are studying the same subject; B has only obtained a bachelor's degree; Ding does not learn philosophy. If the above statement is true, is the following statement correct? ['A is a Bachelor of Education.', 'B is a Bachelor of Philosophy.', 'C is a Bachelor of Philosophy.', 'Ding is a Bachelor of Education.']