SOLUTION: At a Grade 8 graduation dance, 11 friends ask the photographer to take pictures of them two at a time. If each of the friends has his/her picture taken with each of the other pe

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Question 288309: At a Grade 8 graduation dance, 11 friends ask the photographer to take
pictures of them two at a time. If each of the friends has his/her picture
taken with each of the other people, then the minimum number of pictures
that could be taken is
(a) 11 (b) 21 (c) 22 (d) 55 (e) 110
Found 2 solutions by stanbon, richwmiller:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
At a Grade 8 graduation dance, 11 friends ask the photographer to take
pictures of them two at a time. If each of the friends has his/her picture
taken with each of the other people, then the minimum number of pictures
that could be taken is
----
Pick the 1st person: 11 ways
Pick the 2nd person: 10 ways
---
Total number of pairs: 11*10 = 110
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Cheers,
Stan H.
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(a) 11 (b) 21 (c) 22 (d) 55 (e) 110

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
but a with b is the same as b with a
so 110/2=55