Among 9 presidential candidates at a date....

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sunny1324

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Among 9 presidential candidates at a date, 3 are republicans and 6 are democrats

how many lineups by party are possible if each candidate is labeled either R or D?



I don't understand what the question is asking. Could someone explain it to me?
 
I believe it is asking for the number of distinct ways one can arrange 3 R's and 6 D's next to one another.
 
Hello, sunny1324!

Among 9 presidential candidates, 3 are republicans and 6 are democrats.

How many lineups by party are possible if each candidate is labeled either R or D?
Click to expand...

I agree with daon . . .

In how many ways can three R's and six D's be arranged in a row?

\(\displaystyle \text{Answer: }\:{9\choose3,6} \:=\:\frac{9!}{6!3!} \:=\:84\text{ lineups.}\)

 
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