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HELP!!!!!!15 students, 12 in each photo. How many different combination is that?
I'm having a test tomorrow and there's many questions like that, and my teacher hasn't taught me this yet. Please help? Show me the steps you took and why.
Thanks 10 points
6 Answers
- 1 decade agoFavorite Answer
The problem is a basic n choose k problem. Here's how to solve one of those:
The formula for these problems is C(n,k) = n!/k!(n - k)!. In this problem, n=15 and k is 12. Substitute the variables.
C(15,12) = 15! / 12! (15 - 12)! Now solve. ! means factorial and is done like this n! = n*(n-1)*(n-2)...*1, so 15!= 15x14x13...x1=1,307,674,368,000
C(15,12)= 1,307,674,368,000 / 479,001,600*3!= 1,307,674,368,000 / 479,001,600*6 = 1,307,674,368,000 / 2,874,009,600
Dividing the two numbers will get you 455.
There is a function on most scientific and graphing calculators that will do all of this for you. It usually is nCr, but if you need to show all of the steps, there is usually a factorial function, too.
- Anonymous1 decade ago
U do 15 times 12 times the number of photos
- PaulaLv 71 decade ago
You can omit 3 students:
(15 choices for 1st student to omit) x (14 choices for 2nd student to omit) x (13 choices for 3rd student to omit)
But these 3 can be arranged in 3x2x1 ways.
So the answer is (15 x 14 x 13) / (3 x 2 x 1)
which is sometimes abbreviated 15C3 or:
(15)
(3)
If you work out 15C12 you get the same answer.
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