There are numbers from 1 to 30. How many ways are there to select 3 numbers, which make a sum of even number?
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OpenStudy (kamille):
@Mertsj
OpenStudy (anonymous):
Shouldn't be too hard :)
Number of ways you can pick three even numbers + number of ways you can pick an even number and two odd numbers
Add them up
^.^
OpenStudy (anonymous):
PeterPan
OpenStudy (anonymous):
prettyboy20202
OpenStudy (kamille):
Oh, so even numbers:
\[C _{15}^{3}=455\]
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OpenStudy (anonymous):
No repetitions, I hope? :D
OpenStudy (kamille):
it is not said
OpenStudy (anonymous):
Then, it's your call :)
OpenStudy (kamille):
and how to find a way to pick: 2even+odd?
OpenStudy (anonymous):
Well, how many ways can you pick two odd numbers?
And how many ways can you pick ONE even number (out of 15 even numbers?)
Multiply them ^.^
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OpenStudy (kamille):
oh, there is 15 ways to pick one even number, right?
OpenStudy (kamille):
two odd:
\[C _{15}^{2}=105\]
OpenStudy (kamille):
105+115=120?
OpenStudy (kamille):
is it correct?
OpenStudy (kamille):
Well, I think it is not, because the answer is 2030:D
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