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Homework Statement
Show that when angular momenta ##j_1## and ##j_2## are combined, the total number of states is ##(2j_1 +1)(2j_1+2)##
Homework Equations
The Attempt at a Solution
For the two gyros in the box, there are ##2j_1 +1## possible orientations of the first gyro, and for each of these orientations, the second gyro can be oriented in ##2j_2+1## ways.
So shouldn't the total number of ways be ##(2j_1+1)(2j_2+1)##?