Interested in being on the team but jane


A cave diving team has 6 spots: 1 leader, 2 medics and 3 scientists. There are 8 people interested in being on the team but Jane will only participate if she can be the leader! Also, Sidney and Rutherford are shy guys who are afraid of being in charge, so they cannot be the leader. The other 5 people are happy to take any of the three positions.

(The 2 medic positions are indistinguishable, likewise, the 3 scientific positions are also indistinguishable. )

How many teams are possible?

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