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Solve for z_1
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z_{1}=\frac{40320}{\left(8-1\right)!\times 1}
The factorial of 8 is 40320.
z_{1}=\frac{40320}{7!\times 1}
Subtract 1 from 8 to get 7.
z_{1}=\frac{40320}{5040\times 1}
The factorial of 7 is 5040.
z_{1}=\frac{40320}{5040}
Multiply 5040 and 1 to get 5040.
z_{1}=8
Divide 40320 by 5040 to get 8.