10 students are running a race. The fastest 3 will win a gold medal. How many different ways can the students win these medals?
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OpenStudy (anonymous):
all i need to know if this is combinations or permutations
OpenStudy (anonymous):
in permutation x1x2 and x2x1 are different cases, in combinations they both come under one case, now that you know the difference .. you should be able to findout which one it is
OpenStudy (anonymous):
permutations
OpenStudy (anonymous):
well how i learned it was that order counts in perm. and it doesnt count in comb. seeing as its asking how many different ways they could win i put combinations
OpenStudy (anonymous):
can you explain a way for me to determine that because i have another one of these
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OpenStudy (anonymous):
is it 3^10 ?
OpenStudy (anonymous):
Think about it this way, say student A,B,C are the winners and get the medals. It is the same as if B,C,A are the winners.
OpenStudy (anonymous):
the answer will be 45 ways for sure
OpenStudy (anonymous):
12C2
OpenStudy (anonymous):
what is the answer?
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OpenStudy (anonymous):
10*9*8 ways
OpenStudy (anonymous):
is the final answer if repetation is not allowed
OpenStudy (anonymous):
is that the answer???
OpenStudy (anonymous):
10C3
its combination because first three gets a gold medal so combination