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1) This is all the different arrangements of the name EMMA. EMMA EAMM EMAM MEMA MMEA MAME MAEM AEMM AMME AMEM MMAE MEAM 2) This is all the different arrangements of the name LUCY LUCY LCUY LYUC LUYC LCYU LYCU ULCY ULYC UCLY UCYL UYCL UYLC CLUY CLYU CYLU CYUL YLCU YLUC YULC YUCL YCLU YCUL CULY CUYL The reason EMMA (a 4 letter name) has only 12 different arrangements LUCY has 24 is because in EMMA there are two of the same letters in the name and so it restricts the possible amount of combinations, however in the name LUCY all the letters in the names are different so you get the maximum amount of combinations. 3) These are the names that I chose to investigate for different arrangements. I chose 3 names under each amount of letters. 2 Letter Names This is all the different arrangements of the name JO JO OJ This is all the different arrangements of the name MO MO OM This is all the different arrangements of the name TY TY YT 3 Letter names This is all the different arrangements of the name JIM JIM JMI MIJ IMJ IJM MJI This is all the different arrangements of the name BEN BEN NEB BNE ENB EBN NBE This is all...

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