comput313
How many combinations are possible if a committee of 3 is chosen from a group of 25 people?
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ParthKohli
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obviously 25c3. Because we are choosing 3 from 25.
LyraElizabethAdams
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There is a total of 2,300 combinations.
ParthKohli
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\(\Large \color{Black}{\Rightarrow 25c3 = {25! \over (25 - 3)! \times 3!} }\)
ParthKohli
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Looks like someone just answered it.
LyraElizabethAdams
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Remember - this is a combination problem, so you want to do 25 C 3. When you do that, you are finding out the total number of combinations that you could possibly have. Also, remember that combinations can repeat.
comput313
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so 2300 is the answer?
ParthKohli
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Yes.
LyraElizabethAdams
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Yes, 2300 is the answer.
comput313
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thanks
LyraElizabethAdams
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You're very welcome! =)
LyraElizabethAdams
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Sorry - @ParthKohli - I'm not sure what you mean?
ParthKohli
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Maybe the moderators will tell you about it
LyraElizabethAdams
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Did I do something wrong?
LyraElizabethAdams
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Did I do something wrong? What do the moderators need to tell me about - I'm confused.
Calcmathlete
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@LyraElizabethAdams It's probably that you should show the steps or help them get the answer rather than just blurt it out.
LyraElizabethAdams
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OH, I see! Okay - sorry! I thought that since I put the explanation beneath the answer, that was pretty much the same. I'll remember that next time. Thanks! :)