Since there are no restrictions for members' occupation, we just need to chose 6 members out of 13 people. We can do this in
C(13,6)=(136)=13!6! 7!=13⋅12⋅11⋅10⋅9⋅86⋅5⋅4⋅3⋅2⋅1=1716\displaystyle C(13,6)=\begin{pmatrix} 13 \\6 \end{pmatrix} = \frac{13!}{6!\,7!} = \frac{13 \cdot 12 \cdot 11 \cdot10 \cdot 9 \cdot8}{6 \cdot5\cdot4\cdot3\cdot2\cdot1} =1716C(13,6)=(136)=6!7!13!=6⋅5⋅4⋅3⋅2⋅113⋅12⋅11⋅10⋅9⋅8=1716 different ways.
Answer: 1716 ways.
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