SOLUTION: My Q: "Fifteen students have applied for a scholarship, but only 6 can be selected. How many groups are possible?" My A: (m)(n) = (15) (6) = 90 groups are possible. Can you plea

Algebra ->  Probability-and-statistics -> SOLUTION: My Q: "Fifteen students have applied for a scholarship, but only 6 can be selected. How many groups are possible?" My A: (m)(n) = (15) (6) = 90 groups are possible. Can you plea      Log On


   



Question 677789: My Q: "Fifteen students have applied for a scholarship, but only 6 can be selected. How many groups are possible?"
My A: (m)(n) = (15) (6) = 90 groups are possible.
Can you please tell me if I used the correct formula to solve this problem?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
"Fifteen students have applied for a scholarship, but only 6 can be selected. How many groups are possible?"
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Note: "Combinations" is the way to count groups.
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Your Problem:
Ans. = 15C6 = 15!/[(15-6)!*6!] = (15*14*13*12*11*10)/(1*2*3*4*5*6) = 5005
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Cheers,
Stan H.