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