# Twelve friends and their birthdays

Twelve friends: Anna, Bill, Deb, Dory, Eliza, Gaby, Jan, John, Judy, Mary, Otto and Sam, were talking about their birthdays, and much to their surprise discovered that they were all born on different months and, in fact, that each of them was born on a month with at least two different letters in common with their own name.

In what months were each of the twelve friends born?

My guess:

 Anna   January
Bill   April
Deb    September
Dory   December
Eliza  February
Gaby   May
Jan    June
John   November
Judy   July
Mary   March
Otto   October
Sam    August 

How?

Anna can only be January, Bill only April. Deb any of September, October, November and December. Otto can only be October, Jan only June, Eliza only February. July can only be Judy. Then John is November, Dory December and Deb is September.

 Anna   January
Bill   April
Deb    September
Dory   December
Eliza  February
Gaby   May August
Jan    June
John   November
Judy   July
Mary   March May
Otto   October
Sam    March May August

This gives us three answers, one if Gaby is May and two if she is August.

Another possible solution:

Anna    JanuaryBill    AprilDeb     SeptemberDory    DecemberEliza   FebruaryGaby    AugustJan     JuneJohn    NovemberJudy    JulyMary    MayOtto    OctoberSam     March