Problem 6.114

Find out which of the following transitions are forbidden by the selection rules: \({ }^{2} D_{3 / 2} \rightarrow{ }^{2} P_{1 / 2}, \quad{ }^{3} P_{1} \rightarrow{ }^{2} S_{1 / 2}, \quad{ }^{3} F_{3} \rightarrow{ }^{3} P_{2}\), \({ }^{4} F_{7 / 2} \rightarrow{ }^{4} D_{5 / 2}\)