SOLUTION: Three research department have 9,10 and 8 members respectively. Each department is to select a delegate and an alternate to represent the department at a conference. In how many wa

Question 1089770: Three research department have 9,10 and 8 members respectively. Each department is to select a delegate and an alternate to represent the department at a conference. In how many ways can this be done?
Answer by ikleyn(52835) (Show Source): You can put this solution on YOUR website!
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The first department can select these two by 9*8 ways (any of 9 candidate to the first post; any of the 8 remaining to the second post).

The second department can select its representatives by 10*9 ways (following the same logic).

Third department has 8*7 ways.

In total, there are (9*8) * (10*9) * (8*7) ways,

and I leave it to you to make final calculations.

Do not forget to sent your thanks to me after completing.

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