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!

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  • 1 decade ago
    Favorite 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

  • 1 decade ago

    abc

    ade

    afg

    ahi

    bif

    beg

    bhd

    cdf

    ceh

    cig

    dgh

    feh

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