Question 1033955
<pre>
Choose the delegate for the first department in 10 ways.
Choose the alternate for the first department in 9 ways.
Choose the delegate for the second department in 8 ways.
Choose the alternate for the second department in 7 ways.
Choose the delegate for the third department in 9 ways.
Choose the alternate for the third department in 8 ways.

Answer: 10×9×8×7×9×8 = 362880 ways.

Edwin</pre>