How many ways can a president and vice president be selected from a class of 12?
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OpenStudy (anonymous):
a 23
b 72
c 132
d 1320
OpenStudy (anonymous):
@triciaal @phi
OpenStudy (anonymous):
are u sure it is b
OpenStudy (kropot72):
There are 12 choices for the first official. Have made the first choice, there are 11 choices for the second official. Therefore the number of ways is given by 12 * 11.
OpenStudy (rippeh):
So c?
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OpenStudy (phi):
order matters. in other words joe president and obama vice president is different from
obama president and joe vice president
OpenStudy (phi):
when order matters, think "permutation"
12P2
OpenStudy (anonymous):
a 23
b 72
c 132
d 1320
OpenStudy (anonymous):
so what do u guys think the answer is
OpenStudy (kropot72):
The answer is definitely given by the product of 12 and 11. This is the same result with my reasoning and with the formula for permutations.
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