SOLUTION: This is my last question need the solution stuck on it.
How many different ways are there for an admissions officer to select a group of 6 college candidates from a group of 15
Question 211663: This is my last question need the solution stuck on it.
How many different ways are there for an admissions officer to select a group of 6 college candidates from a group of 15 applicants for an interview? Found 2 solutions by stanbon, Edwin McCravy:Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website! How many different ways are there for an admissions officer to select a group of 6 college candidates from a group of 15 applicants for an interview?
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Here you are asked to count the number of groups, not the number of arrangements.
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Example:
a,b,c can be arranged in 3*2*1 = 6 ways
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But there is only one group: {a,b,c}
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Your Problem:
Ans: 15C6 =15!/[(15-6)!*6!] = [15*14*13*12*11*10*9*8*7]/[1*2*3*4*5*6]
= 5005
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Cheers,
Stan H.