# math word problem help please?

You have 9 mutual friends whom you would like to invite to dinner, 3 at a time, over the course of a dozen mini dinner parties. How can you arrange the invitations so that any pair of friends meet each other at dinner only once? Your friends are Alice, Brenda, Charlie, Daniel, Emily, Frank, George, Hanna, and Isabel.

thank you!

### 2 Answers

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- 1 decade agoFavorite Answer
alice=a

brenda=b

charlie=c

daniel=d

emily=e

frank=f

george=g

hanna=h

isabel=i

these are the arrangements:

(1) ABC

(2) DEF

(3) GHI

(4) ADG

(5) BEH

(6) CFI

(7) AEI

(8) CEG

(9) AFH

(10) BDI

(11) CDH

(12) BGF

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